Babysitting Games: The biggest variety of free care games. Girls! Have fun playing our care games in which you can take care of babies or animals, whichever. Super Babysitter , Can you keep the baby madness under control until the parents return?. Take care of this lost puppy and give him the love he needs in this wonderful pet care browser game, Stray Puppy Care. Clean, feed, and play with him as he Super Babysitter · Kindergarten · Cute Baby Nursery.