I was going to suggest the purse game too & am glad someone else did. Super idea! That game works well no matter what type of shower you're having. The list of items you can come up with is only limited by your imagination. Hmmmmmmmm...sort of reminds you of Lets Make a Deal, doesn't it???
Another good one is advertisements from magazines or the newspaper. Cut out an assortment of advertisements for baby things such as formula, diapers etc making sure to darken out the product name. Number each one, keeping a list of what product is which number. Winner is the one who correctly names the most products. The shower I attended that had this game passed the advertisments around but you could also tape/glue them to posterboard & display it or put each on a separate piece of paper for more stability to the flimsy newsprint or magazine stock.
Have fun!