The non-consecutive sudoku puzzles in this game include pure NC as well as thermo, sandwich, and chess variants (specifically knight + king). At least those are the kinds I've unlocked so far, and I assume that's all there is. Don't get me wrong, it's plenty! I have thoroughly enjoyed the 10 hours I've played so far, and look forward to the rest of the puzzles.

A few words of advice: if you're used to the combined corner and center notation of the Cracking the Cryptic web app, you can enable it in the options under gameplay > next.