Yes. Lullabies.

I have heard many different arrangements and remixes of the Mega Man 2 score (which in my opinion is the best score of the original series) before, but this one is on a different level.

The pieces were arranged by Mark Polydoris, who slowed down the tempo of the songs, made other changes, and then played them on a piano. Here's my personal favorite:

https://w.soundcloud.com/player/?url=http%3A%2F%2Fapi.soundcloud.com%2Ftracks%2F90912672

Would you play these for your baby? You can find the complete tracklist in the SoundClound links above and below.