Learn to also WRITE kanji! 小学生手書き漢字ドリル

Doublevil said... There's also this thread about an NDS game that probably does exactly the same.
I also talked about this app in my thread /t/Android-Apps-for-Kanji-Practice/9230/1
As I said there, it's pretty neat (I still use it occasionally) but it's definitely not well designed as a learning tool. You're pretty much on your own with it which is a shame since it could be a lot more interactive. It even accepts wrong strokes as long as they're similar enough to the correct answer, and you will only realize your mistakes if you double-check everything.

@jnejapan the paid version also seems to have quizzes for readings, antonyms, synonyms, and different (more) levels(?) As you can see on the screenshots, they split up the first grade into several levels, it seems.
There's also a kanji kentei version of this very same app which has all the other quiz modes as well, and it's free. hm.