Now, we know that this can be fixed with CheatEngine. These options are now largely missing - at best you can maybe have x2 speed. Some even had enemy units taking their turn all at once (in extremely quick succession). If you wanted to look at them, you had animation speed 1, if you wanted them to be faster you had animation speed 2, or you could perhaps cut them down to a minimum. These games did not force you to watch every repetitive animation for the duration of the entire game.
In many of the slightly older titles like Heroes of Might and Magic 3, Civilization 4, or nu-King's Bounty this was not an issue. This was a problem in some older games too, but they were less self-indulgent about animation. For instance, Hard West, Darkest Dungeon, Warhammer 40k: Mechanicus, Divinity: Original Sin, Blackguards, nu-X-Com, and a bunch of others. It is impossible to speed up animation in many of the recent turn-based games.