HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

Regarding the crashes in the city: yes, there is a crash, and it will be fixed in the next version:
"[-] bug: if you select a stack in the city/garrison window and then perform any quick army management operation, the "split unit" button will not deactivate, and clicking the button will cause a crash."

Repeat turn. Defeat Pygedram, buy Rizza, click repeat.

Added 2 buggy saves that cause the game to crash.
Attachments
HD_CRASH_INFO3.TXT (4.6 KB, 1 view)
Vileti.zip (453.2 KB, 1 view)

I didn't see Pygedram in the players' saves or Rizza in the taverns.
In the bug orange save.GM2 save, there's an issue with the map, but the map autofix works and fixes the orange player (it will be even better in the next version).
When you click the blue replay turn, the heroes of the red and orange players are duplicated, but the map autofix works and fixes this.

In the crash save, according to the scenario info, the pink player has an invalid starting city type, which causes the crash and also when trying to view the puzzle map.

Regarding the glitches and GameRanger.
I played for an hour the other day through GameRanger, Win 7 64-bit HP + Russian SoD vs XP SP3 32-bit Pro + Russian Complete - not a single crash, everything was perfect! I even ran HD + Russian Complete in Linux under Wine the other day (there are some nuances when starting it) - the same, everything works perfectly.
The glitch you described, Lider1, and the constant reports of completely random and irrational crashes and glitches (like scenario info) only lead me to think of the following:
1. Some unknown weird thing.
2. Problems with the hard drive
3. Problems with the RAM
4. Problems with the processor
5. Some kind of virus
6. Some kind of antivirus
How old is the computer? What are the specs? Is it possible to test on another machine? However, if the problem is 2-5, then it should not only HD 3, but also 2.98 and the original, and in general, not only Heroes, that glitches....