Here are the films I saw in 2001 and heartily recommend (presented in the order seen):
The House of Mirth (2000, UK, Terence Davies)
Quills (2000, USA, Philip Kaufman)
Crouching Tiger, Hidden Dragon (2000, Taiwan, Ang Lee)
The Fantastic Planet (1973, France/Czechoslovakia, Rene Laloux)
8 1/2 (1963, Italy, Federico Fellini)
Chunhyang (2000, South Korea, Im Kwon-Taek)
O, Brother, Where Art Thou? (2001, USA, Joel Coen)
Mr. Death: The Rise and Fall of Fred A. Leuchter Jr. (1999, USA, Errol Morris
In the Mood for Love (2000, Hong Kong, Wong Kar-Wai)
Chinese Ghost Story (1987, Hong Kong, Ching Siu Tung)
King of Hearts (1966, France/Italy, Philippe de Broca)
The Contender (2000, USA, Rod Lurie)
A Better Tomorrow II (1988, Hong Kong, John Woo)
Aguirre, Wrath of God (1972, Germany, Werner Herzog)
Dancer in the Dark (2000, Denmark/Sweden, Lars von Trier)
The Widow of St. Pierre (2000, France, Patrice Leconte)
Memento (2001, USA, Christopher Nolan)
The Dish (2000, Australia, Rob Sitch)
U-571 (2000, USA, Jonathan Mostow)
The Emperor and the Assassin (1999, China, Chen Kaige)
Moulin Rouge (2001, USA/Australia, Baz Luhrmann)
Himalaya (1999, France/Nepal, Eric Valli)
The Anniversary Party (2001, USA, Alan Cumming, Jennifer Jason Leigh)
The Road Home (1999, China, Zhang Yimou)
Shrek (2001, USA, Andrew Adamson, Victoria Jenson)
The Others (2001, USA/France/Spain, Alejandro Amenabar)
Toy Story 2 (1999, USA, John Lasseter, Ash Brannon, Lee Unkrich)
My Best Fiend (1999, Germany, Werner Herzog)
Startup.com (2001, USA, Chris Hegedus, Jehane Noujaim)
Magnificent Seven (1960, USA, John Sturges)
Ghost World (2001, USA, Terry Zwigoff)
The Deerhunter (1978, USA, Michael Cimino)
Ghost Dog (1999, USA, Jim Jarmusch)
Bread and Tulips (2000, Italy, Silvio Soldini)
Kiki’s Delivery Service (1989, Japan, Hayao Miyazaki)
Titus (1999, USA, Julie Taymor)
Shackleton’s Antarctic Adventure (Imax) (2001, USA, George Butler)
Monsters, Inc. (2001, USA, Peter Docter, David Silverman)
2 Things @ Once 