Many free and “lite” versions—banner ads on most free versions. And of course, learning is embedded into many of these "games!"

• Geared (free) goal is to use the provided gears, place them on the screen to make all of the gears turn.
• Hungry Hungry Hippos (free) supports up to 4 players, keeps time and scores
• More Pizza! (.99) Mostly for fun, but does introduce little ones to dividing pizza into equal pieces.  

• Easy-Bake Treats! (free) lets you make, bake, decorate, eat and share yummy virtual cakes, cupcakes, cookies and now cake pops right from your iPhone, iPad or iPod Touch. Pick your mix, fill the pan with batter and water, mix it all together and slide the pan into the virtual EASY-BAKE Ultimate Oven to cook. Shake your iPhone, iPad or iPod Touch to get your treats out of then pan and then choose from an amazing number of delicious frostings and candy toppings to create your perfect virtual treat.

• Mickey Mouse Clubhouse Road Rally "appisode"  brings viewing and learning together in one interactive and cohesive experience! Touch, shake, swipe, drag and talk your way through an entire episode of Mickey Mouse Clubhouse right on your iPad. Participate directly in the storyline by completing various activities to help Mickey and friends cross the finish line! 
• Cat Physics (.99) game to move ball from one cat to another
• PBS Kids Video (free) Watch videos from your favorite PBS KIDS television series anytime, anywhere (in the USA). “PBS KIDS Video” features more than 1,000 videos from over a dozen top PBS KIDS and PBS KIDS GO! television series, including Curious George, The Cat in the Hat Knows a Lot About That, Dinosaur Train, SUPER WHY!, Sesame Street and Wild Kratts.
• Checkers* (free) supports 1 and 2 player options 
• BubbleFree (free) Virtual bubble wrap-see how many bubbles you can pop before time runs out
• Word Warp (free) Challenging anagram type of word game 
• 3D Magic Words (free)  Recommended by Rebecca, Random Lake Schools -similar to Word Warp, but with cooler graphics interface
• Sudoku (free)
• Moonlight Mahjong Lite (free) -3D virtual version of Mahjong solitaire matching game
• Jirbo, Inc. Company that has developed many apps for kids. Some free, others mostly .99 
• Airport Mania (ipod-.99/iPad-$3.99) Manage your own airport and get those planes in and out on time
• Lemonade Stand (.99) become a lemonade mogul by making good business decisions. Another similar game is Lemonade Tycoon (free/.99)
• Create a Car (.99) put together a crazy car and watch it "run" 
• TicTacToe Fre 
• Plants vs. Zombies ($2.99) Fun, challenging strategy game (no blood!)
• Knowllenge (.99) Every play you will get a topic and a letter, and the first one to say a word related to that topic, and starting with the selected letter, gets one point.
• createAmonster (free) create kooky characters with ease 
• Zombie Farm (free-in app purchases) Grow you own zombies and zany crops. Invade and play!
• Farkle Addict (free-in app purchases) The popular dice game that is positively addictive!
• Where's My Water (free/.99)
• RailMaze (free/.99)