Other good romantic ones that have funny moments but aren't as comedy are:
Kimi ni todoke
Say i love you
A non romantic one that I really enjoyed is Kuroko no Basket. It's a sports anime, but it's full of cute guys and is fun! I heard that Free! Iwatobi Swim Club is similar.
Nogizaka Haruka no Himitsu
http://myanimelist.net/anime/3467/Nogiza...
Guy accidentally discovers the secret hobby of a shy rich girl in his class.
Chuunibyou demo Koi ga Shitai!
http://myanimelist.net/anime/14741/Chuun...
Boy who has just started high school is forced to befriend a girl who is highly delusional much like he himself once was.
Papa no Iukoto wo Kikinasai!
http://myanimelist.net/anime/11179/Papa_...
Guy who is a university student suddenly takes in three girls (ages 14, 10, 3) after the passing of his sister. Things become very hard for him taking care of three girls in a very small apartment.
Toradora
http://myanimelist.net/anime/4224/Torado...
Misunderstood boy and a violent girl discover they have a crush on each other’s best friend. So they form a pact to help the other get there crush.
Tonari no Kaibutsu-kun
http://myanimelist.net/anime/14227/Tonar...
Overstudying high school girl slowly becomes attracted to a guy who behaves a little oddly.
Golden Time
http://myanimelist.net/anime/17895/Golde...
Guy who lost his memory right after high school starts going to a law school in Tokyo where he becomes attracted to a girl who is chasing her childhood friend in hopes of making him her boyfriend.
Special A
http://myanimelist.net/anime/3470/Specia...
Skip Beat!
http://myanimelist.net/anime/4722/Skip_B...
Toradora!
http://myanimelist.net/anime/4224/Torado...
Fruits Basket
http://myanimelist.net/anime/120/Fruits_...
Peach Girl
http://myanimelist.net/anime/325/Peach_G...
Inu x Boku SS
http://myanimelist.net/anime/11013/Inu_x...
Kamisama Kiss
http://myanimelist.net/anime/14713/Kamis...
My Little Monster
http://myanimelist.net/anime/14227/Tonar...
the best ones are fantasy and supernatural you are missing out. well... i suppose you can try
Pucca
samurai x (not rurouni kenshin)
Code Geass
Death Note
Naruto
Fullmetal Alchemist
I've only ever watched 1 Anime and that is Kaichou wa Maid Sama. I used to 'not-like' Anime before but a friend suggested Maid Sama to me and well...... IT WAS AMAZING! LOVE LOVE LOVED IT! I mean OMG Usui Takumi was just ? ! Please suggest to me some awesome Romantic Comedy Anime like Maid Sama. Please no fantasy or supernatural because I don't really like those :P