WOW! What a great thing to actually require that all parents take a class. We have no such requirement, except for CPR for home o2, trach, and vent discharges. But I have made it a priority to teach our parents. Plus getting families together allows them to get a modicum of social support from someone that is in their shoes.
That being said.......
I agree that CPR is a great place to start. Currently we have started doing classes on various preemie topics (ROP, breastfeeding pre-terms,IVH, basic respiratory issues) I have been combining these classes with a little craft/keepsake for the parents to make(I have done different things with handprints, footprints, scrapbooking photos, etc) this has brought participation way up. the funniest thing is the dads seem to enjoy these crafts just as much as the moms, and they make nicer looking things too!
Hope this gives you a jumping off point! A