Slumdog Millionaire won ALMOST everything at Bafta (short of best foreign film): Best Film, Director, Adapted Screenplay, Music, Cinematography, Editing and Sound. There were only two awards set aside for emotionally charged winners: Best Supporting Actor and Best Actor, which went to Heath ledger and Micky Rourke respectively. 
And the winners are:

BEST FILM
"Slumdog Millionaire" - Christian Colson

OUTSTANDING BRITISH FILM
"Man On Wire" - Simon Chinn / James Marsh

LEADING ACTOR
Mickey Rourke - "The Wrestler"

LEADING ACTRESS
Kate Winslet - "The Reader"

SUPPORTING ACTOR
Heath Ledger - "The Dark Knight"

SUPPORTING ACTRESS
Penélope Cruz - "Vicky Cristina Barcelona"

DIRECTOR
"Slumdog Millionaire" - Danny Boyle

ORIGINAL SCREENPLAY
"In Bruges" - Martin Mcdonagh

ADAPTED SCREENPLAY
"Slumdog Millionaire" - Simon Beaufoy

FILM NOT IN THE ENGLISH LANGUAGE
"I've Loved You So Long" - Yves Marmion / Philippe Claudel

THE CARL FOREMAN AWARD FOR SPECIAL ACHIEVEMENT BY A BRITISH DIRECTOR, WRITER OR PRODUCER FOR THEIR FIRST FEATURE FILM
Steve Mcqueen, director/writer - "Hunger"

ANIMATED FILM
"Wall-E" - Andrew Stanton

MUSIC
"Slumdog Millionaire" - A. R. Rahman

CINEMATOGRAPHY
"Slumdog Millionaire" - Anthony Dod Mantle

EDITING
"Slumdog Millionaire" - Chris Dickens

PRODUCTION DESIGN
"The Curious Case of Benjamin Button" - Donald Graham Burt / Victor J. Zolfo

COSTUME DESIGN
"The Duchess" - Michael O'connor

MAKE UP & HAIR
"The Curious Case of Benjamin Button" - Jean Black / Colleen Callaghan

SOUND
"Slumdog Millionaire" - Glenn Freemantle / Resul Pookutty / Richard Pryke / Tom Sayers / Ian Tapp

SPECIAL VISUAL EFFECTS
"The Curious Case of Benjamin Button" - Eric Barba / Craig Barron / Nathan Mcguinness / Edson Williams

SHORT ANIMATION
"Wallace And Gromit: A Matter of Loaf And Death" - Steve Pegram / Nick Park / Bob Baker

SHORT FILM
"September" - Stewart Le Maréchal / Esther May Campbell

ACADEMY FELLOWSHIP
Terry Gilliam

OUTSTANDING BRITISH CONTRIBUTION TO CINEMA
Pinewood Studios / Shepperton Studios