Now even better!

UPDATE FOR VERSION 1.3:
I now give the app 5 stars. The suggestions I made above are pretty much all implemented: the keyboard now has options for alphabetical or QWERTY style layout. The Greek fonts in the dictionary entries now have excellent accentuation; all the accents and breathings were there before, but they are now much more beautifully rendered. Also has a nice feature for increasing text size, useful for tired eyes! Overall a FANTASTIC app! Ive been able to read Greek better than ever with this aid...even on an airplane where lugging the full LSJ would be impossible! εὐχαριστῶ!

ORIGINAL REVIEW FOR VERSION 1.0:
A great start for the app. Having LSJ in a form that doesnt weigh 100 pounds is definitely nice. A few minor things that could be improved:
1. The final sigma.
2. Accentuation and breathing marks dont seem to be standard Unicode: they appear a bit too far above letters, or, in the case of breathings, not above the letters at all.
3. The Greek keyboard is really nice, a first in an app to my knowledge. However, the keys are presented in alphabetical order. Itd be nice to have an option of putting them in "keyboard" order like in OS X: Im very used to typing Greek and find it strange for β to be at the top left (even though it is the second letter). Could also add the option to sort by breathings: for example, words that start with ἁ instead of ἀ.

PureQuaternion about Greek-English Lexicon