Hi Amanda,
I once wrote up a long list of my favorite Android divination apps for another thread, which includes some oracle apps, i Ching, playing cards, astrology, etc. You can find it
here.
I'd say definitely check out the
Gypsy Fortune Telling Cards, My Destiny Cards, and
Transits. Along with the
Galaxy Runes I now use
Heart of Odin, too. My favorite I Ching is still using the browser for
Online Clarity's free readings and then looking up the hexagrams in other apps for additional info. There is also a nice new I Ching app called
Visionary I Ching.
iLuna tells you which sign the moon is in each day, which is fun.
If you're also looking for tarot stuff,
here's my most recent tarot app post. I've also recently installed a bunch of palmistry apps to try them out, but I've hardly used them so can't recommend any yet.
I'd note that Galaxy Tarot just updated their app to have better reversal interpretations, HD art, and more background themes. I should do an updated post with a more complete list.