We chat about videogames and videogame accessories.

I think there are as many actually funny games out there as there are games with actually good storytelling. It's just that most writing for games sucks regardless of whether it's serious storytelling or comedy, and (probably because they know their target audience?) game designers tend towards dark humor a lot more than lelz and fun.
Pretty recently there's been the Portals, Fallout and Borderlands (at least as far as I've heard), Monkey Island, Psychonauts, No More Heroes, and TF2.
Which is a sad and short list but probably as long as the list of games with decent dramatic storytelling.