Let's see... One Big Happy would be the one with the little girl named Ruthie; I have a avi I made from one of the comics awhile back, actually.
I rather enjoy Pearls Before Swine, but that comic can be an irritant to others. Others are Baby Blues, Foxtrot, and Zits (most of which we have the books for). Pickles is good, as well.
Most of the funny comics I read are online, though (please keep in mind that these are in no particular order):
Dan and Mab's Furry Adventures (whose creator does a taco review on their Patreon) -
www.missmab.com Breaking Cat News (on GoComics.com, and is now getting into newspapers)
9 Chickweed Lane (also on GoComics.com; can be a bit risque at times, so some newspapers dropped it as a result, but will definitely increase your general-use vocabulary!)
www.KevinandKell.com (deals with interracial issues by using anthropomorphic characters; carnivores marry carnivores, prey marries prey - until a wolf falls in love with a rabbit)
www.Retailcomic.com (natch)
El Goonish Shive (slice of life with mad science and magic; includes transgender and sexuality issues, but isn't in-your-face about it) -
www.egscomics.com Girl Power (super heroes; the main character has ADHD, as does the creator; there is the occassional NSFW comic) -
www.grrlpowercomic.comwww.QuestionableContent.net (take our world and give it robot AIs you can buy as both a computer and a friend (assuming your relationship is good); can also be risque due to one of said AIs)
www.precociouscomic.com (also furry; main characters are children who go to a school for highly intelligent kids, and the shenanigans they get in to, because knowledge is a weapon)
Funny comics that are finished:
Girls with Slingshots (slice of life; various dating/work issues)
Namir Deiter (slice of life; also furry; follows sibling girls and their friends from grade school through college)
Shortpacked! (main characters all work in a toy store; the owner/boss wants to take over the world. Fun times; not necessarily for children, though. Author has other comics that feature the same characters, including Dumbingofage.com, which can be funny at times, but deals with some serious issues, which is why it's not included in the above list.)
Special Mention: Something Positive. A lot of people like this comic and find it funny; I decided it was depressing me and stopped reading it a few years back.
Edited to correct a spelling issue and add w's to the links so they might work.