Full Ludacris discography including all official albums & mixtapes...
This isn't every single Ludacris song to date, but it is the most complete discography up to 1/16/2010.

Albums:
Incognegro 2000
Back For the First Time 2000
Word of Mouf 2001
Chicken-n-Beer 2003
The Red Light District 2004
Release Therapy 2006
Theater of Mind 2008

Disturbing Tha Peace:
Golden Grain 2002
Ludacris Presents: Disturbing Tha Peace 2005

Official Mixtapes:
Pre-Release Therapy: The Truth Will Set You Free 2006
DJ Drama Presents The Preview 2008

Singles:
Rollout (My Business) 2001
Move B***h 2001
Splash Waterfalls (Whatever You Want Remix) 2003
Get Back (Sum 41 Remix) 2005
How Low 2009

Soundtracks:
2 Fast 2 Furious Soundtrack

Songs featuring Ludacris