This is probably something games are still exploring as a medium, but I think designers are finding ways to show humour with game mechanics. An example might be a funny setting in Halo's Forge mode, or something crazy resulting from random elements in the new Zelda, or messing up in Surgeon Simulator. The interactivity makes the comedy personal in a special way, and I don't think books or film can quite repeat that.

I'll admit that older games don't quite have that je ne sais pas though. It seems like a thing we're more keen on nowadays, especially with stuff like streaming or roguelike elements coming back into vogue.