Any genre. I like the humor in May Who (thai). I prefer with relatable characters (but not necessary)
Modern Farmer
The Lover
Mr. Nietzsche in the Convenience Store
I laughed ALOT in Hana KImi (j-version) but it is a gender bender so if it's not your cup of tea, it might just seem totally ridiculous rather than funny.

Also the greatest love. Cha Seung Won  and Gong Hyo Jin are the perfect comic pair.
Yeap!! Hana Kimi (2007 version!!) it's super funny!! I recommend itt! http://mydramalist.com/2985-hana-kimi-2007

also "Stand up!!", this drama is about 4 virgin boys xD ( http://mydramalist.com/566-stand-up )
Beautiful Gong Shim (currently airing, the 2 main characters are such dorks... and the guy is SO lovely =w=)
Marriage, Not Dating (probably the funniest kdrama I had the chance to watch...)
Marriage, Not Dating and of course Oh, My Ghostess!
The Lover. I have honestly never laughed that much before haha. Also Reply 1994. Both have very down to earth, relateable charactes.
Wild Romance

&

How To Meet a Perfect Neighbor ( older feel to it but very funny lines)
prince's prince? It is funny and it's a web series so the eps are short
City Hall (K-drama 2009)
Go Princess Go (C-drama2015)
The amount of times I've recommended this drama lol - Modern Farmer.