Marriage, Not Dating. <3 (one of my favourite, comedy is absurd yet hilarious)
Kill Me, Heal Me (some characters are extremely good at making you laugh, yet some people might dislike some of the others characters)
Fated to Love You <3
The Master's Sun
Jealousy Incarnate <3 (very realistic humor, liked it a lot)
The Greatest Love
Seigi no Mikata <3 (If purely looking for comedy, this is a great one.)
Nodame Cantabile
Here are some of my favourite dramas who made me laugh like hell, most of these are not purely comedy (with exceptions) mostly because I enjoy a variety of genres. They are in no particular order. If the title is followed by "<3" then it means the comedy in these one is very high.
[Edit] Oh and I want to add Live Up to Your Name, I'm currently watching it and loving the humour in this one too.