Theatre

Hamlet

Prepare for the latest battle of the princes. John Simm is first in the field at the Sheffield Crucible; then Rory Kinnear enters the running in a Nicholas Hytner production for the National Theatre. It's not, of course, a contest – but comparisons will be inevitable. Crucible, Sheffield (0114-249 6000), from 16 September; and Olivier, London SE1 (020-7452 3000), from 7 October.

The Thrill of it All

Forced Entertainment continues the British experimental tradition with an evening of vaudevillian capers, Japanese lounge music and tarnished sequins. Nuffield, Lancaster (01524 594151), 12-13 October. Then touring.

Tribes

Nina Raine follows her impressive debut play, Rabbits, with a drama about an unconventional family that has its own private language and rules. At its centre is Billy, who is deaf and desperately wants to get a word in edgeways. There will be both captioned and sign-language performances. Royal Court, London SW1 (020-7565 5000), from 20 October.

Love Steals Us from Loneliness

Playwright Gary Owen grew up depressed and suicidal in Bridgend. Now he returns to the town that's seen more than 20 suicides in recent years, to explore what's gone wrong and what's going right. Hobo's Rock Club, Bridgend (029-2064 6900), 7-16 October.

The Lady from the Sea

David Eldridge unveils a new version of Ibsen's tale of watery passion. Sarah Frankcom directs a production the Royal Exchange calls "Anna Karenina meets The Piano". Royal Exchange, Manchester (0161-833 9833), 13 October to 6 November.

The Picture

Jacobean dramatist Philip Massinger's play revolves around a Bohemian knight who sets off to war with an enchanted image of his wife that changes colour according to her fidelity, or lack thereof. Philip Wilson transposes the action to the mid-19th century, at the time of the birth of photo-graphy. Playhouse, Salisbury (01722 320333), from 4 November.

King Lear

Derek Jacobi teams up again with director Michael Grandage for a King Lear that will both tour nationally and be broadcast to more than 20 countries. Donmar Warehouse, London WC2 (0844 871 7624), from 7 December.

Beasts and Beauties

This blissful take on fairytales, drawn from Carol Ann Duffy's poetry, was first seen at the Bristol Old Vic in 2004 and is now being remounted in Hampstead. Hampstead theatre, London NW3 (020-7722 9301), 10-31 December.

Film

Wall Street: Money Never Sleeps

Just as the financial world goes into meltdown, Michael Douglas's Gordon Gekko is back with a sinister new plan to make more money and to destroy more lives. He's desperate to be reconciled to his environmentalist daughter, played by Carey Mulligan; she's engaged to a idealistic young Wall Street trader, Shia LaBeouf, who falls under Gekko's awful spell. Released on 6 October.

Eat, Pray, Love

Julia Roberts stars in this showy journey of personal growth, based on the bestselling memoir about a newly single woman finding herself. Reportedly, Roberts converted to Hinduism as a result of this film. Released on 24 September.

Made in Dagenham

Sally Hawkins stars in this real-life drama, based on the 1968 strike by women workers at the Ford Dagenham plant, who object to getting paid less than their male counterparts. A star-studded British cast includes Bob Hoskins, Rosamund Pike and Miranda Richardson as Barbara Castle. Released on 1 October.

The Kids Are All Right

This easy-going comedy has won hearts and minds across America. Julianne Moore and Annette Bening are a gay couple who have had children through artificial insemination – one each, from the same father. Now teenagers, these kids wish to contact their father; the parents have no choice but to agree. Released on 29 October.

Countdown to Zero

This terrifying documentary by British film-maker Lucy Walker assembles an impressive array of talking heads, including Gorbachev and Tony Blair, to talk about the real danger of a nuclear explosion by accident, or from committed terrorists. A cautionary tale for anyone who thinks that a nuclear catastrophe is something we don't need to worry about. Released on 12 November.

Architecture

RIBA Stirling prize 2010

The 15th instalment of British architecture's answer to Big Brother. A coterie of architects attends a gala dinner at London's Roundhouse (shown live on BBC2) to select the best building from a shortlist of six. The winner gets £20,000. Bookies' favourites are Zaha Hadid's Maxxi gallery in Rome and David Chipperfield's revamp of the Neues Museum in Berlin. 2 October. Details: architecture.com

World Architecture festival 2010

More than 1,000 architects from around the world will converge on Barcelona for this festival, at which an expert panel will name the world's best new building. Last year, the award went to the Mapungubwe Interpretation Centre, by Peter Rich Architects, which was built in South Africa on a confluence of the Shashe and Limpopo rivers. Barcelona, Spain, 3-5 November. Details: worldarchitecturefestival.com

Comedy

Tommy Tiernan

This is the first UK tour for the 1998 Perrier award winner since he got into hot water last year for Holocaust material in his native Ireland. (His Canadian tour was cancelled as a result.) A comic, said Tiernan in reply, has to be "reckless and irresponsible". Expect more saying of the unsayable, in a lyrical Donegal lilt. Sheffield Memorial Hall (0114-2789 789), 6 October. Then touring.

Tim Minchin

Having written his musical of Roald Dahl's Matilda for the RSC, which premieres in November, the shock-haired Australian troubadour Minchin returns to live comedy. His UK tour promises new songs, old favourites – and a 55-piece orchestra. Birmingham NIA (0121-780 4141), 8 December. Then touring.

Josie Long

Before this year's Edinburgh festival fringe, Josie Long's standup was big on crayons and kookiness but low on bite. Her fringe set retained the idealism but added sass, sharp teeth and a rousing call to political arms. Now she takes her message to the nation. The Stand, Edinburgh (0131-558 7272), tomorrow. Then touring.

Armstrong and Miller

Perrier nominees in 1996, Armstrong and Miller's TV fortunes were flatlining until they found mid-career success with their BBC1 sketch show. Now they take those popular primetime characters – including their toff-but-common RAF pilots – on the road. Bristol Hippodrome (0844 847 2325), 23 September. Then touring.

Dance

Nearly Ninety

Merce Cunningham created this, his final work, just months before his death last summer. For all the poignancy surrounding its UK premiere by his dance company, it's also a piece alive with invention, fusing dance, music, video and a futurist set. Barbican, London EC2 (020-7638 8891), 26-30 October.

Cinderella

A new staging of Prokofiev's fairytale score from Birmingham Royal Ballet mixes darker themes of loneliness and loss in among the tinsel. Hippodrome, Birmingham (0844 338 5000), 24 November to 12 December.

Iphigenie auf Tauris

In the months following Pina Bausch's death, her work has enjoyed a rich showing in the UK, culminating with this London premiere of Iphigenie auf Tauris, her 1973 staging of Gluck's opera. Sadler's Wells, London EC1 (0844 412 4300), 27–31 October.

The Nutcracker

English National Ballet celebrate their 60th anniversary with a fresh take on the Tchaikovsky classic. Where the last version had a cartoon-coloured tone, this will be Victorian picture-book pretty. Coliseum, London WC2 (0871 911 0200), 10-30 December. Then touring.

Classical/Opera

Promised End

English Touring Opera premieres what composer Alexander Goehr says will be his last opera: a Noh-style treatment of King Lear. Linbury, London WC2 (020-7304 4000), 9-16 October. Then touring.

Nine Rivers

Scotland's greatest living composer, James Dillon, finally gets proper recognition in his homeland with the first complete performance of his magnum opus. Rolf Gupta conducts the BBC Scottish Symphony Orchestra. City Halls, Glasgow (0141-353 8000), 14 November.

Rebecca Saunders

The expat British composer is in residence at the Huddersfield Contemporary music festival, bringing with her a whole sheaf of UK premieres as part of the festival's rich spread of new music. Various venues, Huddersfield (01484 430 528), 19-28 November.

Tannhäuser

The Royal Opera's final new show of 2010 brings Wagner's "grand romantic opera" back to Covent Garden after more than 20 years, in a production by Tim Albery. Semyon Bychkov conducts. Royal Opera House, London WC2 (020-7304 4000), 11 December to 2 January 2011.

Visual arts

Brighton photo biennial 2010

This city-wide survey puts photo-graphers such as Robert Mapplethorpe alongside counterparts from across the globe.Venues around Brighton, 2 October to 14 November. Details: bpb.org.uk

Paul Gauguin

France's quintessential bohemian painter hasn't had a UK show this large in 50 years. This one leads us from Brittany to Polynesia, where Gauguin died in 1903. Tate Modern, London SE1 (020-7887 8888), 30 September to 16 January 2011.

British Art Show 7: In the Days of the Comet

The five-yearly whip through what's hip in art will be inspiring and annoying in equal measure. Venues around Nottingham, 23 October to 9 January 2011, then touring. Details: britishartshow.co.uk

Ai Weiwei in the Turbine Hall

The first non-western artist to take on the space, Weiwei is an outspoken critic of the Chinese government. How far will he go here? Tate Modern, London SE1 (020-7887 8888), from 12 October.

Move: Choreographing You

Explores 50 years of interaction between art and dance. Could be fascinating. Hayward Gallery, London SE1 (0844 875 0073), 13 October to 9 January 2011.

Pop

Robyn

Swedish starlet Robyn is as fiercely individual as it's probably possible for an unabashed pop star to be. Her latest venture involves releasing three albums in one year (a reaction to touring her last record for five years). Expect the highlights, from foul-mouthed hip-hop to sparkling electropop. O2 ABC, Glasgow (0844 477 2000), 18 October. Then touring.

LCD Soundsystem and Hot Chip

Spectacularly good value: James Murphy's outfit on (apparently) their final lap, with Hot Chip, touring their career-best album One Life Stand. Cardiff International Arena, 12 November. Then touring. Details: livenation.co.uk

Vampire Weekend/Janelle Monáe

Vampire Weekend, whose bookish, Afro-influenced indie really comes to life on stage, make an intriguing choice of support for their final tour date: the year's breakout soul star. Alexandra Palace, London N22 (0844 277 4321), 3 December.

Suede

Briefly the Indie Band Most Likely To (before they were swept away by the less complex pleasures of Oasis), Suede parlay the momentum from their reunion concert for Teenage Cancer Trust earlier this year into a huge London show. O2 Arena, London (0844 811 0051), 7 December.

Arcade Fire

Arcade Fire's burgeoning success suits their music: what can sound a bit overinflated on record makes perfect sense booming around stadiums with crowds singing along en masse. LG Arena, Birmingham (0844 338 8000), 8 December. Then touring.

Television

The Special Relationship

Michael Sheen steps back into Tony Blair's shoes for the third time in a new feature-length drama from screenwriter Peter Morgan. These are Blair: The Action Buddy years, as he enters centre-left on the world stage to find Bill Clinton – his husky sincerity nailed by Dennis Quaid – waiting with open arms. BBC2, this Saturday.

Community

Joel McHale (host of E!'s sarky entertainment news show The Soup) plays a dodgy lawyer sent back to college to get the degree he's been pretending he's had for years. Viva, October.

Any Human Heart

This adaptation of William Boyd's novel promises to be one of the season's classiest offerings. Jim Broadbent, Matthew Macfadyen and Sam Claflin take turns to play writer Logan Mountstuart, who tumbles through the 20th century while crossing paths with Jackson Pollock, Virginia Woolf, James Joyce and a succession of lovers. Channel 4, November.

The Walking Dead

Andrew Lincoln (Egg from This Life) plays a police officer who wakes up after an accident to find himself in the middle of an undead apocalypse. Based on the cult graphic-novel series, The Walking Dead could be the moment zombies get a True Blood-style makeover. FX, November.

Wallace and Gromit's World of Invention

Well-loved duo try out TV presenting for this six-part series, celebrating the mothers and fathers of scientific invention – as well as quirkier projects that never got beyond the drawing board. BBC1, November.

World music and jazz

AfroCubism

The original idea for Buena Vista Social Club is revived, uniting Malian stars including Toumani Diabaté with Cuba's finest. Barbican, London EC2 (020-7638 8891), 21 November; Usher Hall, Edinburgh (0131-228 1155), 2 December.

Le Mystère des Voix Bulgares

This all-female Bulgarian choir return to the UK for the first time in more than a decade. Queen Elizabeth Hall, London SE1 (0844 875 0073), 2 November. Then touring.

Vandermark 5/Atomic

Chicago saxophonist Ken Vandermark references everything from Sun Ra to rock; the Norwegian/Swedish Atomic ensemble splices old and new with ferocious vivacity. Vortex, London N16 (020-7254 4097), 16 September. Then touring.

London jazz festival

Includes Herbie Hancock's Imagine Project and shows by Sonny Rollins and Brad Mehldau. Various venues, London, 12-21 November. Details: londonjazzfestival.org.uk

Books

Freedom, by Jonathan Franzen

Franzen's first novel since 2001's The Corrections is getting rave reviews. 23 September.

Jump! by Jilly Cooper

The bonkbuster queen returns to what she does best: sex among the horsy set. 16 September.

Conversations With Myself, by Nelson Mandela

Mandela's collection of private letters, diaries, doodles and conversations has a foreword by Barack Obama. 12 October.

Map of a Nation, by Rachel Hewitt

The story of the Ordnance Survey map, from the 18th-century adventurers who slogged up hill and down dale, right up to today's digital database. 7 October.

• Chosen by Michael Billington, Peter Bradshaw, Andrew Clements, Robin Denselow, Alison Flood, John Fordham, Lyn Gardner, Jonathan Glancey, Brian Logan, Judith Mackrell, Alexis Petridis, Adrian Searle and Richard Vine.

• This column was amended on 14 September 2010. The original gave the opening date for Hamlet at the Crucible, Sheffield as 22 September. This has been corrected.