Could also be a sweepstakes - £1 or 50p entry. Guess The Due Date/Birth Weight! “You can also guess when the baby arrives, or birth weight, and the person with the nearest guess wins a bottle of bubbly post-birth!” suggests Leena.Guess The Baby’s Sex! Why not have your guests place their bets on boy or girl, and follow up with a gender reveal as the shower draws to a close?.Here are 23 of our mum-approved baby shower games to try: