Punch-Drunk Love (2002)
This one is a musical, and it's very good! Adam Sandler plays Barry Egan, a low-brow comedian with some anger issues. Lena Leonard, played by Emily Watson, sees a man that she can change.
Amélie (2001)
This is one of the most popular rom-coms of all time. You've probably seen posters for it everywhere. The archetype of the main character is similar to Jane Austen, where she is the perfect heroine and wants to live in a romantic world. Basically, it's like Jane Austen was brought into 2001.