Best ipad apps for toddlers

Update: 2016-09-22:
Best game for a 2 year old:
https://tocaboca.com/app/toca-builders/
Basically a simplified minecraft with a much bettter UI.  Best game ever.

After sorting through dozens of poor quality ipad apps, I've found a bunch that are really top notch.

These ones are age appropriate for my 18 month old daughter.  It definitely took her some time to develop the motor skills to play with the more complicated apps, so I've listed the the apps in order of difficulty.  Also, for most of these apps, the other apps by the same publisher are also top notch, I just don't have the time to list them all.

If you have some favorite kids apps (for either android or ipad), please let me know!

1. Peek a Boo Barn - https://itunes.apple.com/us/app/peekaboo-barn/id300590611?mt=8 (This one is actually very dumb, but it's a great starter app because it's super easy.)
2. Wood Puzzle - https://itunes.apple.com/us/app/wood-puzzle-hd/id381583071?mt=8
3. Shape Builder - https://itunes.apple.com/us/app/shape-builder-preschool-learning/id306572986?mt=8
4. Preschool Memory Match - https://itunes.apple.com/us/app/preschool-memory-match/id368542467?mt=8
5. BeBop Blox - https://itunes.apple.com/us/app/bebop-blox/id653812905?mt=8
6. LumiKids - http://www.lumikids.com/
7. Busy Shapes - https://itunes.apple.com/us/app/busy-shapes/id722784048?mt=8
8. Emma in Italy - https://itunes.apple.com/us/app/book-puzzle-emma-in-italy-hd/id682728869?mt=8
9. Endless Alphabet - http://www.originatorkids.com/
10. Shape Sorter - https://itunes.apple.com/us/app/shape-sorter-freemium-early/id961619926?mt=8
11. First Words Sampler - https://itunes.apple.com/us/app/first-words-sampler/id312571156?mt=8
12. Sorting 2 - https://itunes.apple.com/us/app/tinyhands-sorting-2-educational/id588415329?mt=8
13. 
    
14. Sing! Karaoke (by smule) - https://itunes.apple.com/us/app/sing!-karaoke-by-smule/id509993510?mt=8
15. GarageBand - https://itunes.apple.com/us/app/garageband/id408709785?mt=8