I think I would be fine with a couple of extra interactive items (e.g. changing table, baby stroller and/or bath) and more choices for the crib and onesie. I hate that default crib so much right now! I think being able to teach them how to crawl would also be kind of nice but it shouldn't be available right after birth but rather right before becoming a toddler, it could then transition to teaching the toddler how to stand and walk.
I don't really care if they don't have a real "personality" though but being randomly assigned "difficulty" levels (e.g. quiet vs fussy) would be a cool gameplay addition.