I have weird tastes in love stories. Most of the normal romance movies don't do much for me--I like ones that cross with another genre--and I often prefer sad/bittersweet stories, so off the top of my head, here are some I like: Never Let Me Go, Tristan and Isolde, Jane Eyre, Queen Margot, Last of the Mohicans. There are definitely others, but those come to mind...
not a fan of love stories but my favorite would have to be Tangled (the Disney movie). My other favorite love story is Amy and Rory from Doctor Who, but that's a TV show not a movie...