Being really lazy, I'll totally recommend Monkey Island, whatever John Walker says. I normally have total respect for the guy (RockPaperShotgun.com cowriter/editor chap) but he slated it in the latest PCGamer. But I like PCGamer less and less recently vs the internet in it's majesty.
It was very funny when I played it, though that may say I have the sense of humour of a five year old from the early nineties. =\ =)
Ps. I played Monkey Island through as the new graphicsy special edition, and though it has it's problems, it's darned lovely (problems: You may actually have to change back to the original graphics to solve one puzzle. FARKING GROG).
I've also played Full Throttle, and that's pretty good. DotT, I've only played as a demo (Lol, that was a while back) though I assume it's awesome from other peoples comments on it, but don't know from personal experience.
Oh! And if you want something involving cock jokes, I thoroughly recommend Ben There Dan That, and the pay-for sequel, (first one's always free... =\ =) But highly recommended by the aforementioned John Walker/RPS.). Note: Not 100% cock jokes. One second, splicing links to mini-reviews on the subject into the post.