Baby Games for One Year Old. Family Fun mini games for parents to share with their baby teaching basics! Baby Games for Boys and Girls! Keep their attention and learn something new. Featuring (24) Fun and Free Mini Games: 1. Baby Phone. 2. ABC's. 3. 123's. 4. Funny Sounds. 5. Learn Transportation. 6. Animal Sounds. 7. Rattles. 8. Baby Keyboard. 9. Balloon Popping.