Royal Albert Hall · Wed 8 & Thu 9 Apr, 7pm

Two nights, two landmark albums performed in full. Tigermilk on Wednesday with The Loft supporting, If You're Feeling Sinister tonight with Martin Creed — followed each night by a second set of favourites. Thirty years since the records that defined indie pop's quiet revolution, played in an ornate hall that suits their chamber-pop intimacy perfectly. Stuart Murdoch's voice in that room, on those songs, is the kind of thing people remember for decades. If you have a ticket for tonight, you already know. If you don't, check for returns.

Barbican, LSO St Luke's, Westminster Central Hall, Cadogan Hall · Wed 9 – Sun 12 Apr

Four days devoted to the people who make films sound the way they feel. The opening night, Homegrown Heroes, fills the Barbican with British film and TV scores conducted by Ben Foster and hosted by Edith Bowman — the debut of the London Soundtrack Festival Orchestra. Tomorrow, Rachel Portman introduces a screening of Emma, the score that made her the first woman to win the Oscar for composition. Saturday brings Julian Nott introducing Wallace & Gromit: The Curse of the Were-Rabbit and An Evening at Downton Abbey with the Chamber Orchestra of London at Westminster Central Hall. The festival closes Sunday at Cadogan Hall with Portman performing new chamber arrangements of Chocolat, The Cider House Rules and Never Let Me Go. A festival for anyone who's ever rewound a scene just to hear the music again.

Roundhouse · Sat 11 Apr (3pm & 7.30pm) & Sun 12 Apr (6pm)

Twenty-five years of hip hop dance theatre, distilled into one fierce new work. Kenrick 'H2O' Sandy and Jade Hackett choreograph, Michael 'Mikey J' Asante composes and conceives, and a seven-piece live band drives the whole thing forward. Cycles has been reworked specifically for the Roundhouse's 270-degree stage — a configuration that puts you inside the movement. Part of the Roundhouse Three Sixty Festival, co-presented with the Barbican. Sunday's performance is preceded by the premiere of Project rEVOLUTION, a new work created with the Roundhouse Young Dance Company. Three shows, two days. This is the kind of work that only exists in London.

Duke of York's Theatre · Until 6 Jun · From £25

Rebecca Lucy Taylor — Self Esteem — makes her West End play debut as Maggie, the self-destructing lead singer of a band hired to play a 1969 Cambridge May Ball. David Hare wrote it in 1975; Daniel Raggett directs this revival with Phil Daniels and Michael Fox. It's a play about talent that insists on burning itself down, about class and ambition and the particular English ritual of dressing up to fall apart. Taylor — who was Sally Bowles in Cabaret — brings an intensity that turns the second act into something you don't quite expect. Includes scenes of drug use and on-stage smoking. Twelve weeks only.

Tate Britain · Until 23 Aug · £18

The first major retrospective of one of Britain's most skilled and genuinely experimental painters. More than 80 works span thirty years — from student paintings to new, never-before-seen canvases — all colour-drenched, all alive with movement and memory. Anderson was born in Birmingham to Jamaican parents, the youngest of eight children and the first born in the UK. His work zigzags across the Atlantic: barbershops in Handsworth, Caribbean landscapes seen through diasporic eyes, lush interiors that dissolve at the edges. The reviews have been unanimous — Wallpaper called it mesmerising, Time Out gave it five stars. A quietly powerful show that earns its scale.

Also This Week

Roundhouse · Thu 16 & Fri 17 Apr

The Three Sixty festival continues with back-to-back headliners. Kae Tempest on Thursday introduces their new novel Having Spent Life Seeking — expect readings, spoken word, and the kind of intensity that makes a room hold its breath. Friday brings Imogen Heap, live. The festival runs all month with over a thousand tickets at £5 or less.

Next week

V&A East, Queen Elizabeth Olympic Park · Opens Sat 18 Apr · £22.50–24.50

London's biggest new museum opens in nine days. The V&A East's landmark first exhibition explores how Black British music has shaped the culture from 1900 to now — 200+ objects, from Joan Armatrading's childhood guitar to Little Simz's stage wear. The building itself, by O'Donnell + Tuomey, is worth the trip. Book early — the first weekends will sell fast.

Opens 18 April

Sam Wanamaker Playhouse · Closes Sun 12 Apr · From £5

Tim Crouch directs and stars as Prospero in this compelling reimagining — four lost souls stranded on an island, telling themselves the same story over and over, conjuring characters out of thin air. Naomi Wirthner is a magnetic Ariel. Crouch brings his trademark metatheatrical wit to Shakespeare's late masterpiece, and the candlelit Wanamaker Playhouse makes it feel genuinely enchanted. Final performances this weekend, from five pounds.

3 days left

Royal Academy · Closes Sun 19 Apr · £18

The first British woman to occupy all of the Royal Academy's main galleries. Ninety-plus works by the 91-year-old painter — joyful, raw, enormous — alive with Nicole Kidman, Kill Bill, Elizabeth I, and animals painted directly with her hands. She waited seven decades for recognition. Don't let this one close without you.

10 days left

National Portrait Gallery · Closes Mon 4 May · £22

170 rarely-seen drawings and preparatory studies alongside the paintings they became — an unprecedented look inside Freud's working process. The intimacy of the sketches, drawn from the Archive and the artist's estate, changes how you see the finished portraits. Tours to Louisiana in Denmark this summer, but seeing it here, in the building Freud painted in, is the point.

25 days left

Weezie's

Belgravia · Opened this week

Thin-crust pizza in the London-meets-New Haven style from the team behind Amie Wine Studio. A neighbourhood wine bar that happens to make very good pies — charred, blistered, uncluttered. Belgravia doesn't get many places like this. It should.

Just opened

Derwent Art Prize

OXO Gallery · Wed 9 – Sun 19 Apr · Free

The international pencil art prize returns to the OXO Gallery with 71 works selected from over 5,000 submissions across 77 countries. Ranges from hyper-realistic portraiture to wild abstraction — all in pencil. Free, unhyped, and quietly brilliant. A good lunchtime detour on the South Bank.

Opens today