Favs list of the 2000 decade.
I admittedly have yet to see many movies for this decade, and am by no means an average movie-goer. But of what I've seen, here's a few of my favorites:
Monsters Inc. (2001)
Millenium Actress (2001)
Crayon Shin Chan: Adult Empire Strikes Back (2001)
Just One Look (2002)
I Not Stupid (2002)
University of Laughs (2004)
Fireflies: River of Light (2004)
Summer Time Machine Blues (2005)
Memories of Matsuko (2006)
Fearless (2006)
Girl Who Leapt Through Time (2007)
Always Sunset on Third 2 (2007)
Honorable Mentions to:
Shaolin Soccer (2001)
A.I. Artificial Intelligence (2001)
Metropolis (2002)
Supersize Me (2004)
New Police Story (2004)
Letters from Iwo Jima (2006)
Star Trek (2009)
I'm sure there's more, I just forget. I also notice many of these movies have to do with time, sentimental nostalgia, history, futurism. I must be a sucker for these types of movies.