If we were having a co-ed shower, my partners friends would be there & I would feel kind of strange about them wrapping string around me and I feel like they would as well, haha.. but that's everyone's own preference about how close they are with the people in their lives :-)
We don't do games in my family, but I like Ariels suggestion of baby bingo & price is right. We do basket raffles, we design cool themed baskets (target theme, gardening, lottery, wine, baked goods, etc) and then raffle them off (everyone puts their name into a bucket at the beginning).
As far as games go you can get some string and have everyone go around and guess how big your belly is with out actually touching you and who ever comes closet wins
For prizes with mine we gave out lottery tickets between $1 and $5 and gift card for about $20 I also had both genders at my baby shower
You can do baby bingo. The price is right. Say baby( where the wear a pin and who ever here a person say baby. They take that persons pin and who ever has the most pins by time baby shower over they win)... The water break game. (Buy like lil baby's from party city or dollar tree put them in a ice tray freeze them water pass them out in a cup each person gets one and who ever ice melts first and baby floating they yell "my water broke" and they win).... Also buy a bottle fill it with skittles or jelly beans count how many is in there. And during the baby shower who ever comes to the closes number wins the bottle full of candy!
For gifts for who ever wins mix it up with like guys body wash or a candle something.
Party favors just do the regular. Candy from Walmart that's in the baby decoration section. And the wrapper says its a boy. Or it's a girl which ever one you having.
My baby shower is next month and I'm having guys and girls also. I'm planning it myself so I've been glued to pintrest. There are alot of cute things for girls on there. I and doing a game where we are going to get a roll of yarn, and guest guess how much it would take to wrap around my belly and cut the yarn how ever much they think it will be and everyone comes up and wraps there yarn around me and whoever is closest wins. And I'm doing some expensive candles for prizes. Everyone can use candles lol. I originally had caramel apples and baby bottles full of candy as prizes but just went to a baby shower and she had the glass thing you sit candles on and candles to go with it so I had to up my game lol hope this helps!