One we've always loved playing...
Give everyone a pink piece of paper and a blue piece of paper, post-it note size is fine.
On the Pink piece have them write one problem, challenge, obstacle etc that new parents can expect to face. Ex... diaper needs changing, baby has colic, running out of formula, etc. (Remember..P is for Pink and for Problem)
Collect all the pink pieces of paper in a bag (or whatever) and mix them up.
On the blue piece they now write their advice for a solution to the problem. Ex...change the diaper, rub the baby's tummy, send dad to the store, etc.
Collect the blue pieces of paper in a bag (or whatever) and mix them up.
Now, let everyone randomly draw a pink paper and a blue paper from the mix, and go around the group letting everyone share the problem and the solution they are holding.