There are a lot of games for the DS like this (漢検DS series, なぞっておぼえる series, etc).
They're aimed at native speakers but they test you on the correct reading for kanji words (and also the correct kanji given a word in hiragana).
There's also this which is aimed at schoolkids and works a similar way:
漢字の勉強を無料のネットゲームで!-小学漢字1006文字をマスター!漢検対策にも- ★まなゲーらんど★