The Melancholy of Haruhi Suzumiya -Romance is kept at minimum, but for the most part it is a comedy. It's about a Highschool student who possesses an omnipotent power that can change the natural world accordingly to her personal preferences. She seeks to befriend supernatural beings, or any sort of being that is out of the ordinary.
Toradora! -The genre is a balanced hybrid of romance and comedy. It's basically about a girl who asks a boy to generally help her in life.
K-ON! - A straight-up comedy, at least to me. It's about an all-girl band with an adept potential, yet they frequently procrastinate in a reckless manner.
Clannad - Primarily a romance drama, but will contain comedy from time-to-time. Another one of those simple school romance animes where the male protagonist assists the girl he's interested in, (Like Toradora, but not as humorous).
Lucky Star - Primarily a comedy. About 4 girls attending a highschool. Not much else to say, at least from my perspective.
School Days - A romance with a slight bit of comedy. About a girl who hooks up her new seatmate to a girl he likes. However, the, "cupid" falls in love with her target. There is conflict throughout the entire anime.
(Although, I strongly discourage watching this, so do so at your own risk. It's not that it's a bad anime, but you may not like how it turns out.)