British Council
British Council Learn English: Jokes
A new cartoon joke weekly and an archive of previous strips organized by topic (animal, family, doctor). All involve a pun or play on words, and are drawn in a non-busy, ELL/ESL friendly style.
Other
Today's Cartoon: Family Cartoons
This site, run by cartoonist Randy Glasbergen, features one-cut cartoons about kids, moms, dads, parenthood and family life.