I'm hosting a shower this Sunday for my friend whose baby was born really early. She requested no cheesy games, but I wasn't sure if she wanted any games at all. I have chosen one just to kind of break the ice. I decided to have every one break into pairs, and make a list of the most song titles they can think of that have the word "Baby" in them. Whoever has the most at the end of... I dunno... two minutes wins (I have special prizes for the winning pair).
I figure that will be fun, but I am sure most people will want to chat, especially since the baby is still in the NICU.
Hope that helps!