Cost: $1.99
This simple but addictive game involves selected a balloon, inflating it (with a slide on the Touch or blowing on the microphone on the iPhone), shaking it to twist it into an animal shape (you’ll really have to trust your kid not to let it go flying), then using various sliding gestures to make it do hilarious things. ALL of the kids continue to play this on a regular basis.

Cost: Free

What can I say? It’s a cool, free checkers game. ‘Nuff said!

Cost: Free

This is a digital version of the paper-and-pencil dots game I grew up playing on restaurant placemats. This is probably better for older kids, though adults (like me) may find it nostalgic.

Cost: .99

This an addictive game that is suitable for kids and adults. My oldest (aged 6 years) started playing with the free version and got pretty good at the puzzles up to level 3 or so. That’s when I picked it up, conquered the remaining levels in the free version, and promptly downloaded the free version.

Cost: .99
This finger-painting app has an almost hypnotic quality to it. While not specifically designed for kids, I regularly find them playing with this, tweaking the settings to produce “artwork” similar to digital spin art.

Cost: Free

Another game that doesn’t need much explanation. Remember Connect Four? This is that game…just on a touchscreen.

Cost: Free

This free app is amazing. While  this isn’t a game nor an app for kids specifically, it regularly comes it useful for showing the kids geography in a way they can visually understand. (Note: requires an Internet connection.)

Cost: Free

This simple game shows two screens of cartoon animals that, when touched, tell you the sound that animal makes. Simple, but my younger ones regularly play this one.

Cost: $1.99

A little critter helps the kids draw lowercase and uppercase letters as well as numbers. I was surprised the older kids liked this since they do more challenging writing assignments as part of their homeschooling. I was equally surprised that my 2-year-old could actually play the game. The free version is more limited, but is a great way to see if your kids like the game play.

Cost: .99

This is a word-jumble game for adults and is addictive for word-game nuts (like me and my wife)! However, I include it here because I’ve set it to 5-letter puzzles with “infinity” time limit and my oldest has fun with it, even if she can’t solve many of the puzzles.

Cost: .99

What do you get when you mix classical art with a basic puzzle? This fun game that exposes the kids to several iconic pieces of art. The settings allow you to set how many slices are used.

Cost: .99

One of the kids’ absolute favorites. When the barn shakes, you touch it, it slides open to reveal a farm animal and the sound it makes. Repeat. Has a really cute ending, too! There is a free version, but really, just download the full version! If you really like this app, I suggest getting the sequel Peekaboo Wild, which is currently $1.99.

Cost: Free

Like digital flashcards, this game asks “Where is the [animal]?” and provides decent feedback when the child touches a correct or incorrect choice from the four pictures shown. While the cartoon animals aren’t very realistic, it’s still a fun game.

Cost: .99

This cute app includes four music-oriented games. The kids like this a bit, though it doesn’t hold their attention for too terribly long.

Cost: Free

This is a video player for PBS Sprout Kids clips. My kids always clamor to play this one, so if you, like me, limit how much TV they watch, you might not want to introduce another thing to fight over! I’m not sure how often they add new content, since the kids seem to have viewed all the clips at least once by this point. (Note: requires an Internet connection.)

Cost: $1.99

Select a tune from the catalog, then either tap it out (with adorable icons bouncing out) or simply hit the play button. The free version includes a very limited catalog, but will give you a sense of the app. The full version includes a very extensive library of songs.

Cost: Free

Another “duh” app, though this one can be enjoyed by younger kids.

Cost: $1.99

The kids took awhile to warm up to this one, but now they all love it. Offering six full songs (Wheels on the Bus, Working on the Railroad, Head, Shoulders Knees & Toes, Row Your Boat, BINGO, and Word by Word), there are no flashy visuals, just a simple acoustic recording that the kids sing along with.

Cost: .99

Think of Tetris meets Jenga. As the squishy blocks fall, you place, twist, and rearrange them so the stack doesn’t topple! They’ve since come out with a couple of new versions, but I’m perfectly happy with the original.

Cost: $2.99

While this is most expensive app in this list, I’ve certainly gotten my money’s worth. Each verse in this song favorite has an interactive animated cartoon that makes singing along that much more fun!