This was actually more difficult than I thought. I keep a list of favorite movies by release date, and I have 28 from 2000 on. I made a lot of cuts, and made The Lord of the Rings count for 1 movie, and still could only winnow down to 13.
In order of release date:
Almost Famous (2000)
In the Mood for Love (2000)
Memento (2000)
The Lord of the Rings (2001- 2003)
Eternal Sunshine of the Spotless Mind (2004)
Pride & Prejudice (2005)
Children of Men (2006)
Michael Clayton (2007)
The Assassination of Jesse James by the Coward Robert Ford (2007)
The Dark Knight (2008)
About Time (2013)
Hell or High Water (2016)
A Hidden Life (2019)
In order of release date:
Almost Famous (2000)
In the Mood for Love (2000)
Memento (2000)
The Lord of the Rings (2001- 2003)
Eternal Sunshine of the Spotless Mind (2004)
Pride & Prejudice (2005)
Children of Men (2006)
Michael Clayton (2007)
The Assassination of Jesse James by the Coward Robert Ford (2007)
The Dark Knight (2008)
About Time (2013)
Hell or High Water (2016)
A Hidden Life (2019)