At a friend's one we had guess the baby food, where we had to taste baby food out of a jar and guess what flavour it was (harder than you think LOL) We also had match the celebrity to their baby/child, memory game where you put say 12 baby related items on a tray, et everyone look at them then take them away and get people to write the ones they remember.
Google baby shower games- there are whole sites devoted to it!