Aside from Anki I also use the iKnow application in a similar way.

For dictionaries I use:

Japanese by codefromtokyo – Still my favourite EDict dictionary for layout and features.

Midori – Another EDict dictionary. This one has custom Japanese handwriting recognition and I only use it when the default iPhone recognition fails me in other dictionary apps.

EBPocket Pro – EPWING dictionary viewer which I have loaded with a variety of dictionaries.

And for something a bit different:

Ninja Words Adventure – A Kanji recognition game with light RPG elements. Fight strange enemies by earning and then using Kanji to damage them or heal yourself. Compounds are created to form more damaging attacks. Have fun while improving your Kanji recognition at the same time, what’s not to like?