As observed from my kids use of our iPhone (always in airport mode of course when they are using it.) Following are the iphone applications that my kids have found the most interesting.

Here are the top 5 but below are all of the rest that they like.

• Disney Fairies Fly Lite (free)
• Doodlekids (free)
• iNeko (free)
• Trace (free)
• Rolando Lite (free)

Free Kid Stuff

Paper Toss (free) (latest version has ads which people say are real annoying)
iTunes

Trace (free)
iTunes

Disney Fairies Fly Lite (free)
iTunes

Spawn Lite (free)
iTunes

Doodlekids (free)
iTunes

iNeko (free)
iTunes

JellyCar (free)
iTunes

Newton's Cradle Classic (free)
iTunes

Rolando Lite (free)
iTunes

Topple (free)
iTunes

Earth 3D (free)
iTunes

iQualizer Lite (free)
iTunes

Labyrinth Lite Edition (free) but best if you make your own mazes 
iTunes

iHusky Lite (free) (though later versions are getting more complex)
iTunes

Blowfish (free)
iTunes

Tags: iphone