What are some good comedy animes?

The Devil is a Part-Timer.

Try Gintama and Daily lives of Highschool boys X3

Ouran High School Host Club is my number one comedy anime :D

Some other good ones:
Hetalia
Blood Lad (has it's moments)
Watamote
Naruto (pre-shippuden)
Free!
Chobits

I find Hetalia and Ouran High School Host Club to be HILARIOUS <3

Space dandy he is a dandy guy from space!

Maria Holic! Always my first choice when someone asks for a comedy anime. Also try:
Is This A Zombie?
Air Gear (WARNING! It's really freaking stupid. Funny, but stupid.)
Welcome to the NHK! (Though that's more dark comedy.)

kashoue wa maid sama how ever you spell it lol

D-Frag!

Sabagebu! (pictured)
Nichijou
Daily Lives of Highschool Boys
The World God Only Knows
Princess Jellyfish
Love Lab
Nisekoi
Senyuu.
Sayonara Zetsubou Sensei (Dark Humour)
My Mental Choices are Completely Interfering With my School Romantic Comedy
Ben-to

Well, since Hataraku Maou-sama has already been posted...

Yu Yu Hakusho has some HILARIOUS moments and quotes in the English dubbed version.

Gekkan Shoujo Nozaki-Kun (I usually don't like this sort of anime, but this one I find super entertaining-)

All the others I would have said have already been posted. :3

Toriko
My Bride is a Mermaid
Squid Girl
Saiyuki
Sakura Wars
Sgt. Frog
Fruits Basket

1)Noucome
2)Soredemo Sekai wa Utsukushii
3)Zero no Tsukaima
4)Seto no Hanayome
5)Tokyo Ravens
6)Bokura wa Minna Kawaisou
7)Mangaka-san to Assistant-san
8)My Romantic Teen Comedy SNAFU-Oregairu
9)Blood Lad