Please avoid the string/ribbon game where each guest cuts off a piece trying to guess how big around the mom-to-be's belly is. That one always makes an emotional pregnant woman feel like everyone thinks she's as big as a hippo.
As the expectant mother, I sadistically enjoyed watching the guests play the baby food eating contest and guessing the gross smelling foods in diapers (like pureed tuna, stinky cheese, dog food...). It was payback for that stupid string game, though I don't think the guests enjoyed it too much.
I've heard of some showers having a bunch of plain white onesies in various sizes and a bunch of fabric markers. The guests all decorate a onesie and prizes can be awarded upon determination by mom-to-be for her favorites or things like Most Unique, Funniest, Cutest, etc.
Other than that, with a large group I'm not a huge fan of baby shower games as it's usually just too many people to try to get everyone to pay attention/ hear what's going on. At the shower for my second, my lovely, wonderful aunt (host) had raffles for prizes (instead of actual games) and everyone hung out and talked, ate, whatever. Bonus for me was that I was able to open my gifts in front of everyone but since most people were mingling and chatting, I didn't have to deal with the awkward "everybody stare at me and watch me ooh and ahh over opening a tube of diaper rash cream" stuff. She gave Bath and Body works liquid hand soaps for party favors and I think potted flowers for the prizes.