Okay, off the top of my head, and in no order:
1. Blur - The Universal (The Great Escape, 1995)
2. Eminem - White America (The Eminem Show, 2002)
3. Ryan Adams - Political Scientist (Love Is Hell, 2004)
4. Nick Cave and the Bad Seeds - Far From Me (The Boatman's Call, 1997) - probably my favourite song ever
5. Bob Dylan - Isis (Desire, 1976)
6. Hell Is For Heroes - Night Vision (The Neon Handshake, 2003)
7. Hundred Reasons - Silver (Ideas Above Our Station, 2002)
8 Radiohead - Idioteque (Kid A, 2000)
9. Wilco - I Am Trying To Break Your Heart (Yankee Hotel Foxtrot, 2002)
10. Weezer - The Good Life (Pinkerton, 1996)
However, according to last.fm, which admittedly only records back three years and doesn't count what I listen to at work which would include probably another 200 Notorious BIG plays...
1. Primal Scream - Slip Inside This House (Screamadelica, 1991)
2. Jeff Buckley - Last Goodbye (Grace, 1994)
3. Nick Cave and the Bad Seeds - Far From Me (one that overlaps!)
equal 3. The Beatles - Yer Blues (The Beatles, 1968)
4. Ryan Adams - So Alive (Rock 'n' Roll, 2003)
equal 4. Ryan Adams and the Cardinals - Always On My Mind (Jacksonville City Nights UK bonus track, 2005)
5. Primal Scream - Higher Than The Sun (Screamadelica, 1991)
equal 5. BRMC - Open Invitation (Howl, 2005)
6. Happy Mondays - Judge Fudge
equal 6. Ryan Adams - This House Is Not For Sale (Love Is Hell, 2004)
7. Bob Dylan - Things Have Changed (2001)
equal 7. Ryan Adams - Political Scientist (another overlap!)
equal 7. Nick Cave and the Bad Seeds - Come Into My Sleep (B-Sides And Rarities, 2005)
8. Ryan Adams and the Cardinals - Magnolia Mountain (Cold Roses, 2005)
9. Barenaked Ladies - Adrift (Barenaked Ladies Are Me, 2006)
10. Ryan Adams - Wonderwall (Love Is Hell, 2004)
And my top ten most played in the last week:
1. NWA - If It Ain't Ruff (Straight Outta Compton, 1988)
2. PJ Harvey - This Mess We're In (Stories From The City, Stories From The Sea, 2001)
3. Black Light Burns - Iodine Sky (Cruel Melody, 2007)
4. Pras Michael - Ghetto Supastar feat. Ol' Dirty Bastard and Mya (The Essential ODB Story, 2005)
5. Cave In - Tension In The Ranks (Perfect Pitch Black, 2005)
6. Hawkwind - Urban Guerilla (Doremi Fasol Latido re-release, 1971)
7. Ryan Adams and the Cardinals - Down In A Hole (Everybody Knows EP, 2007)
8. Paramore - That's What You Get (Riot!, 2007)
9. Ol' Dirty Bastard - Got Your Money (n***a Please, 1999)
10. Nick Cave and the Bad Seeds - Papa Won't Leave You, Henry (Live Seeds, 1993)