Here are some games from BabyCenter you might enjoy playing with your 4-6-month-old baby: 

Bubbles 

There’s something magical about bubbles, and at this point your baby can see far enough away to focus on them. Blow bubbles when they’re getting fussy. 

I’m going to get you! 

Here’s what you could say: “Hey, baby I see you over there sitting up! Well, that just makes you closer to my lips and I’m going to come over there and kiss you! I’m going to steal a kiss, baby! I’m coming! I’m coming! I…gotcha!” Then cover your baby in smooches. 

This little piggy 

Touch your baby’s toes in turn, starting with the big toe. Say, “This little piggy went to market, this little piggy stayed home, this little piggy had roast beef, this little piggy had none. And this little piggy went wee-wee-wee all the way home.” 

Tummy time 

Get down on the floor with your baby. Look them in the eye as you lie on your own belly. Lay your baby down on a towel and use it to gently roll them from side to side. Try saying, “Oops-a-daisy, Oops-a-daisy” as you roll your baby over. 

Fly, baby, fly! 

You can pretend that baby is a rocket ship, flying them over you and making realistic rocket noises (dads are great at this). You can play that your baby is in an elevator, which advances up floor by floor before sinking quickly to the bottom or pretend that your baby’s doing a helicopter traffic report.