A lot of games that used crude humor back in the day seemed to use it in a gimmicky sort of fashion, like a "We're going to make it all about farts and boogers to get kids to want the game, and not focus on actual gameplay!" type thing. It was pretty demeaning to children, but some games were crude and actually really fun.
Earthworm Jim is the prime example. It has things ranging from belching, vomiting, and fart noises, but that doesn't get in the way of innovative platforming.
Duke Nukem 3D is another example. A different kind of "crude" from Earthworm Jim, it was pretty infamous in the public's eyes for its suggestive themes.
What are some other games that proved that a game could be both tasteless (so to speak) and fun?