For a movie buff - All time favorite: Lord of the Rings.
Many women don't like these film due to all the battle scenes. I love them on several levels,the actors, (I do love Viggo Mortensen) the story and then all the costuming and set design and the music. I really got into the details of filmmaking with these flicks.
Other films I like:
While You were Sleeping - Favorite Romantic Comedy
Christmas in Connecticut the Barbara Stanwyck version 1945 - Christmas Movies. I also love White Christmas, Its a Wonderful Life, A Christmas Story
Old movies - The Quiet Man - favorite flick with John Wayne in it.
Fantasy - Harry Potter Movies.
Thriller - Hunt for Red October, you can't beat Sean Connery in a film.
Science Fiction - Star Trek, Star Wars movies.
There are many more but these are what first came to mind. I love the whole movie experience, my daughter and I have bonded over many flicks and now call one another after seeing a new movie to share experiences and critiques. I do love a good story and movies take me there in new ways.