What are some romantic "classy movies" in the 21st century?

Hi I am writing a music research paper on romantic "classy movie". I think I can handle the films in the 20th century pretty well but I have trouble thinking of any modern productions. So far I have Cinema Paradiso, Il Positino (The Postman), Romeo and Juliet, and The Notebook, etc and I will need a lot of more suggestions due to my limited knowledge. Any idea is greatly appreciated. Thank you!!