Some albums I listened to in 2003 (not necessarily released in 2003) and enjoyed quite a bit, listed in reverse chronological order:

Nelly Furtado - Folklore
Kings of Leon - Youth & Young Manhood
Cinematic Orchestra - Motion, Man With a Movie Camera
Outkast - Speakerboxxx / The Love Below
Porcupine Tree - In Absentia
Zoot Woman - Zoot Woman
Electric Six - Fire
Dirty Vegas - Dirty Vegas
Norah Jones - Come Away With Me
Roni Size - In The Mode
Gemma Hayes - Night On My Side
The Roots - Phrenology
De La Soul - Buhloone Mind State
Elvis Costello - This Year's Model
Placebo - Sleeping With Ghosts
Turin Brakes - Ether Song
Moloko - Statues
Moodlex - Moodlex Sessions