Well here are my top ten's or top 15's if I thought the year was good enough since 2000. I've also included a running best of list for 2006 which I'll periodically update as I see worthwhile films. 

2000 
1. Requiem for a Dream (US - Darren Aronosky) 
2. Dancer in the Dark (Denmark/France/Sweden - Lars Von Trier) 
3. Traffic (US - Steven Soderbergh) 
4. Bamboozled (US - Spike Lee) 
5. O Brother Where Art Thou? (US - Joel and Ethan Coen) 
6. Love's Labours Lost (US/UK - Kenneth Branagh) 
7. The American Nightmare (US - Adam Simon) 
8. Yi-Yi (Taiwan - Edward Yang) 
9. Almost Famous (US - Cameron Crowe) 
10. Paragraph 175 (US - Robert Epstein, Jeffrey Friedman) 
11. Amores Perros (Mexico - Alejandro Gonzlez Irritu) 
12. Into the Arms of Strangers (US - Mark Jonathan Harris) 
13. Timecode (US - Michael Figgis) 
14. Eureka (Japan - Shinji Aoyama) 

2001 
1. Mulholland Drive (US - David Lynch) 
2. Moulin Rouge (US/Australia - Baz Luhrmann) 
3. Apocalypse Now Redux (US - Francis Ford Coppola) 
4. The Royal Tenenbaums (US - Wes Anderson) 
5. Baran (Iran - Majid Majidi) 
6. Stanley Kubrick: A Life in Pictures (US - Jan Harlan) 
7. Vanilla Sky (US - Cameron Crowe) 
8. The Hidden Half (Iran - Mohammad Nikbin/Tahmineh Milani) 
9. Lord of the Rings: The Fellowship of the Ring (US/New Zealand - Peter Jackson) 
10. The Road Home (China - Zhang Yimou) 
11. Memento (US - Christopher Nolan) 
12. Bully (US - Larry Clark) 
13. Amelie (France/Germany - Jean-Pierre Jeunet) 
14. What Time is it There? (Taiwan - Tsai Ming-Liang 
15. Kandahar (Iran/France - Mohsen Makhmalbaf) 

2002 
1. The Pianist (Poland/UK/France/Germany - Roman Polanski) 
2. Lord of the Rings: The Two Towers (US/New Zealand - Peter Jackson) 
3. Bloody Sunday (UK/Ireland - Paul Greengrass) 
4. Talk to Her (Spain - Pedro Almodovar) 
5. Bowling for Columbine (US - Michael Moore) 
6. All or Nothing (UK - Michael Leigh) 
7. Spirited Away (Japan - Hayao Miyazaki) 
8. Adaptation (US - Spike Jonze) 
9. Catch Me If You Can (US - Steven Spielberg) 
10. Gangs of New York (US - Martin Scorsese) 
11. Ararat (Canada - Atom Egoyan) 
12. Star Wars Episode II: Attack of the Clones (US - George Lucas) 
13. Minority Report (US - Steven Spielberg) 
14. Far From Heaven (US - Todd Haynes) 
15. The Quiet American (US/Australia - Phillip Noyce) 
16. In Praise of Love (Switzerland - Jean Luc Godard) 
17. Chicago (US - Robb Marshall) 
18. 25th Hour (US - Spike Lee) 

2003 
1. City of God (Brazil - Ktia Lund, Fernando Meirelles) 
2. Kill Bill Vol. 1 (US - Quintin Tarantino) 
3. Angels in America (US - Mike Nichols) 
4. Elephant (US - Gus Van Sant) 
5. Lord of the Rings: Return of the King (US/New Zealand - Peter Jackson) 
6. 21 Grams (US - Alejandro Gonzlez Irritu) 
7. Finding Nemo (US - Andrew Stanton, Lee Unkrich) 
8. Big Fish (US - Tim Burton) 
9. Thirteen (US - Catherine Hardwicke) 
10. Bad Santa (US - Terry Zwigoff) 

2004 
1. The Incredibles (US - Brad Bird) 
2. Eternal Sunshine of the Spotless Mind (US - Michel Gondry) 
3. The Saddest Music in the World (Canada - Guy Maddin) 
4. Dogville (Denmark - Lars Von Trier) 
5. Hero (China/Hong Kong - Zhang Yimou) 
6. Million Dollar Baby (US - Clint Eastwood) 
7. Kill Bill Vol. 2 (US - Quintin Tarantino) 
8. Sideways (US - Alexander Payne) 
9. Vera Drake (UK - Mike Leigh) 
10. House of Flying Daggers (China/Hong Kong - Zhang Yimou) 
11. Moolaade (Senegal - Ousmane Sembene) 
12. Tarnation (US - Jonathan Caouette) 
13. Closer (US - Mike Nichols) 
14. Before Sunset (US - Richard Linklater) 
15. Baadasssss (US - Mario Van Peebles) 
16. I Heart Huckabees (US - David O'Russell) 
17. Team America: World Police (US - Trey Parker) 

2005 
1. Sin City (US - Frank Miller/Robert Rodriguez/Quintin Tarantino) 
2. Serenity (US - Joss Whedon) 
3. Crash (US - Paul Haggis) 
4. Pride and Prejudice (US/UK - Joe Wright) 
5. The World (Japan/France/China - Jia Zhang Ke) 
6. Last Days (US - Gus Van Sant) 
7. Broken Flowers (US - Jim Jarmusch) 
8. The Weeping Meadow (Greece/France - Theo Angelopoulos) 
9. Nobody Knows (Japan - Hirokazu Kore-eda) 
10. Fever Pitch (US - Peter and Bobby Farrelly) 
11. King Kong (US - Peter Jackson) 
12. Munich (US - Steven Spielberg) 
13. Star Wars Episode III: Revenge of the Sith (US - George Lucas) 
14. Kung Fu Hustle (China/Hong Kong - Stephen Chow) 
15. The Squid and the Whale (US - Noah Baumbach) 

2006 
Tsotsi (South Africa - Gavin Hood) 
United 93 (US - Paul Greengrass) 
The War Tapes (US - Deborah Scranton) 
A Scanner Darkly (US - Richard Linklater) 
Borat: Cultural Learnings of America for Make Benefit Glorious Nation of Kazakhstan (US - Larry Charles) 
Bobby (US - Emilio Estevez) 
The Departed (US - Martin Scorsese) 
Children of Men (US/UK - Alfonso Cauron) 
Curse of the Golden Flower (China/Hong Kong - Zhang Yimou) 

2007 
Planet Terror (US - Robert Rodriguez) 
No Country for Old Men (US - Joel and Ethan Coen) 
Diary of the Dead (US - George A. Romero) 

2008 
Iron Man (US - Jon Favreau) 

*edit for Eureka