VCMI is also available for Android. Mod support. New factions. Not that the depth or homm3 leaves anything to be desired, but it's really fun nonetheless to try new stuff :)
I also loved 3, "Songs of Conquest" has been an enjoyable spiritual successor for me recently even if the base game is quite limited on factions and a number of mechanics differ. I'm also keeping an eye on "Heroes of Might and Magic: Olden Era" when it eventually releases.