Played Heroes of Might and Magic III on my Android phone with VCMI open-source engine.

Works fine. Many options and settings. Files of the game is not included. On my Pixel game controls feels a little bit small, but anyway Heroes III are playable.

Recorded screen video with launch, loading from saved file, day changing, map moving and fighting (quality was changed to reduce file size).

https://video.nostr.build/782c862a39e2c84b8b70c57c508c236b14e076c8eb221bb66eaa1526a970ccff.mp4

Official website of VCMI engine: https://vcmi.eu/