Fisher-price.com and gamebaby.com have some fun baby games to play online. On both websites, they offer free, flash-based games that only require the mouse or keyboard to play.
At Fisher-price.com, it has baby games that are more for learning purposes. Some of their games include The ABC's Zoo Learning Game, Little People Shapes and Colors, Thomas and Friends Engine Wash, and Laugh and Learn Count With Me Game.
At Gamebaby.com, the games are for popular cartoons, like Spongebob Squarepants and My Little Pony. Popular games include Rainbow Dash Pony VS Human, Spongebob and Patrick Babies, Monster High Pets Salon and Rapunzel Eye Treatment.