There's an assortment of baby-shower games that are out there, but these are the ones I've seen the most:
Clothespin Cross: Everyone is given 2 or 3 wooden clothespins when they arrive. These are clipped onto your clothing somewhere. If someone catches you sitting with your legs crossed, they take one of your clothespins away from you. At the end of the party, the guest with the most clothespins wins a prize. All of the clothespins are then collected and given to the new mom in a bag with a list of "uses for clothespins" (bag clips, curtain closers, keeping socks/mittens together, etc.). I have the document if you're interested - it was compiled from a few friends and friends of friends. To make the clothespins extra fun, I've sometimes painted them in bright colors and then given them a coat of a weather-sealer.
Name that Food: This is where you buy several jars of baby food, take the labels off the jars, number each jar, and then have everyone taste the food and try to guess what each one is. The guest with the most correct answers gets a prize.
Feel and guess: An assortment of baby "accessories" are purchased for the new mom, and each one is sealed in a numbered brown paper lunch bag. The bags are passed around the room, and everyone has to try and guess what each item is by feeling it through the bag. Guests write down their guesses on a piece of paper, and then when everyone has had a chance to feel all of the bags, the new mom opens the bags one at a time and everyone corrects their own papers. The guest with the most correct answers gets a prize. some of the items we've put in the bags: a sippy cup with handles, a bottle brush, a pacifier leash, a baby hair brush, safety latches, etc.
Another cute thing I've seen is a "cake" made out of diapers. Each layer of the "cake" was made of diapers grouped together to make a circle, with smaller circles of diapers stacked on top to make more layers. A wide ribbon went around each layer to hold the diapers together, and bibs, burp rags, or small washcloths were rolled and twisted to make the flowers or other decorations on the cake.
We've also done several "time capsule" boxes lately - have each guest bring something to put in the box that would give a sense of life in the month/year the baby was born and seal the box up to be given to the baby on his 18th birthday. people bring magazines, newspapers, a list of the top 10 songs on the radio or books on the NYT best seller list, a picture of main street in his home town, a newly minted coin or comic book, a photograph of the baby's family or pets, etc.