These are in no particular order by the way.
1)Amélie(2001)
This movie is spilling over with charm. It's a romantic comedy, but its nothing like a romantic comedy you might see from Jennifer Aniston or Cameron Diaz. The main character is adorable and whimsical, with a grand wondering imagination. The scenes are beautifully shot, with really amazing background imagery. The film does this wonderful thing where it introduces all the characters with a little information about them, namely their likes and dislikes. This makes for many hilarious scenes, and interesting personalities. I'd recommend this film if you like quirky(kind of an overused term) romantic comedies with a little twist.
2) Eternal Sunshine of the Spotless Mind(2004)
This movie makes it's way into a lot of top movie lists, and for good reason. This movie is romantic, but its most certainly not a comedy. Its quite depressing actually. The story is so engaging the time is going to fly by. Jim Carrey actually plays a serious role in this film, which I was put off by initially. Jim Carrey not doing comedy? But trust me, he pulls off the role of an anti-social average Joe phenomenally. I'd also like to compliment the soundtrack of this film, the music is very immersive, it fits the mood of the film perfectly.
3) Phantom of the Opera(2004)
A lot of people prefer the Broadway performances to the movie, but i've never seen this on Broadway so I wouldn't know. This movie a musical, with the lead roles played by Gerald Butler and Emily Rossum. I've seen it countless times throughout my life, and have actually memorized the entire movie. It being a musical makes this a lot easier than normal films granted. The scores are great, the theatre this movie is shot in is beautiful, and the acting is solid. Why do I prefer it to other musicals? I'm not sure, the characters just speak more to me I guess.
4)Mirror Mask (2005)
Man, where do I start with this one. I'd compare it to Alice in Wonderland for sure, they share a lot of similarities. The main character is lost in a fantasy world with a ton of insane characters, while looking for a way to get back home. The movie is extremely visually interesting, the world is like something out of a twisted artist's mind. The music has this amazing relaxing jazz type of feel, I loved it so much I burned a copy on a CD which I keep in my car for long drives. The story has a slight twist, but nothing mind bending. Just sit back and relax to this immersive world.
5) Rid of Me (2011)
This is one of those love it or hate it films. I think those who have dealt with severe anxiety will really appreciate the awkward scenes in the movie. At first I was put off by the weird camera angles and the shots where the actors/actresses were staring at the camera, but it really grew on me. The movie did a great job of portraying that fake group who never really left high school, and main character is easy to relate to. Overall this is a film that will send you through a roller coaster of emotion if you can identify with it.
Quick honorable mentions: Seven Samurai(1954), Pulp Fiction(1994), V for Vendetta(2005), Drowning Mona(2000), 5cm per second(2007).
tl;dr recommend your favourite movies to me.
I tend to like concept movies, such as "Inception", "The Matrix", "Jumper", "Looper", and the like. Nothing is cooler than a totally new theory / concept that doesn't exist in present day reality.