We did a few at my shower that people thought were fun/cute:
We played wedding gift bingo - you give each person a blank "bingo" card to write in each square what they believe the bride/groom will receive as gifts, so as the couple are opening, you cross it off on your bingo sheet - the first to get bingo wins (we did 1st & 2nd place - obviously 1st place was a bigger prize).
We also played a game called what's in your purse? - this was cute, but I think we should have done it opposite than how we did it - basically my mom & I came up with a list of things a woman carries around in her purse - we came up with like 20, and we did it where the person who had the most won the prize - we did a "purse survival kit" that my mom & I made up by getting things at the store (all the small travel items & most were under $1) - but I think if you're going to do the purse survival kit, you should do it so the person who has the least wins that prize - that way they get the things they need for the inside of their purse.
I've also seen another game where you do kind of a bride/groom trivia - put together questions on a sheet of paper & have everyone fill them out (like while you're eating) and the person who answers the most correctly wins - questions like: who's older, where did they meet, where are they going on their honeymoon, etc.
Also, I believe we looked on theknot.com for ideas and there were a few there, so if you don't like these, you can always look for more.
Hope I helped!