Oh yeah, many a comedic game to be played on the Amiga. I never had a chance to play Big Business, but that sounds awesome - if not a little too realistic and sad on levels. For me, games like Keef the Thief, Monty Python's Flying Circus(although some of it is just plain weird) and especially Leisure Suit Larry had me rolling back in the day. Leisure Suit Larry still does. It's cheesy, but as an adult, I can still appreciate (maybe more so now) what it's about.
I can't remember the name of it now(it's kind of a kooky/cartoony medieval theme), but there's a game with an intro or title screen where there's sounds of swords clanging, people "dying" and funny bits of speech like "no, no, no!" that's still pretty funny today. Same with the Cannon Fodder series. And before you think I'm uber grim or something, it's only funny because they're drawn/animated unrealistically and the sound bytes are hilarious. If Cannon Fodder were to be redone to look, behave and sound like real troops, I wouldn't care for it at all.
Now if that new AvP game has the Predator throwing his disc and decapitating someone (alien or human), I'd think that was pretty funny. lol