Oh, I loved HOMAM 3 - and this made me google a bit and there is also an engine for it for Linux: https://github.com/vcmi/vcmi
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.
Oh yes. The number of hours burnt away by this...
For HOMAM3 there’s also the amazing HotA: https://h3hota.com/en/documentation