My shower was only bridal but I feel like the games were gender neutral. We had a ring toss game. We had a "he or she" game basically guests were told to identify if a statement was moreso groom or bride.
We're doing a couples shower too in June! A friend is planning it but I think we're playing the shoe game, where we're back to back and we'll hold up the shoe to the person that most relates to a statement. They might do more games but I wanted to be surprised.