Ok so I've only seen Korean movies and one Thai movie, but they've been so good, so I'll recommend those for you.
(Also, it's a little more than 10, but I don't think you'll mind. :))
My Girlfriend is an Agent This movie is hilarious! It has Kang Ji Hwan in it and he plays the dorky and funny character so well here.
The Beast and the Beauty I LOVED this movie. It's obviously a take on the Beauty and the Beast, but it's about an average (although the movie tries to play it off as ugly) looking guy who starts dating a blind girl. She finds out she can get surgery to get her eyes fixed....hilarity ensues. I absolutely adored this movie. Oh, and Shin Min Ah is in it. I like her to begin with, so this movie wins for me. :D
He Was Cool This is a classic Korean rom com and has Song Seung Heon (from My Princess) from like 7 years ago. It's a cute movie that barely touches on some serious subjects, though they don't delve into them.
Do Re Mi Fa So La Ti DoThis movie has Jang Geun Suk from a few years back. Music-themed and this movie was able to make me cry a little, but I won't say why.
Too Beautiful to Lie This movie has Kim Ha Neul and Kang Dong Won. Was not a huge fan of both before this movie, but they make this movie gold. You must see this, it's hilarious.
Finding Mr. Destiny This is a relatively recent movie with Gong Yoo, fresh from the army. It's cute and cliched, ends a little abruptly, with a unexpected surprise, but still worth watching. I may be biased here though, cause I love Gong Yoo. But c'mon....how could you not.
Kiss Me, Kill Me This movie is a little dark, still funny, but different from the rest. It's a little weird, but worth it. It's a little older so the video quality might not be fantastic either, but it's about a girl who wants to kill herself, but keeps failing. She hires an assassin, and when he realizes what's going on, he refuses to kill her. They keep meeting and it's great fun to watch their characters unfold before our eyes.
My Dear Desperado Another one of my favorites! It's also got a weird vibe feeling to it, but these kinds of movies satisfy me. About a girl who loses both her job and boyfriend, then moves to a shady place. Her next door neighbor is a gangster and there characters collide. Very funny.
Virgin Snow This movie has Lee Jun Ki in it. About a Korean boy moving to Japan to live with his father. There he meets a Japanese girl and they fall in love despite the language barrier. Cute and sweet drama, with a decent amount of angst coming from the girl's side of the relationship because of her family situation.
Romantic Island This movie has a number of Korean stars in it, and is about three couples (who don't know each other) on a trip. It's cute to watch the three very different types of couples and there is a story arch that covers all three couples. One of them is to be killed by an assassin but the assassin doesn't know which one. Much different in quality compare to other types of movies that try to tell the story of various couples, this one is great. Plus it's got some of my favorite actor/actresses like Lee Soo Kyung and Lee Sun Gyun.
The Legend of 7 Cutter Oh wow, this movie is HILARIOUS! It's a high school movie, but definitely not a romcom. Yes there is romance, but a little bit. It's about a boy who transfers to a new school and has the same name as an infamous high school gangster. He keeps accidentally getting mistaken as him, despite his constant denials. Hilarity ensues.
Wow, a long post. But I absolutely adore Korean movies and these are all worth checking out. :D
