End of Turn - can you force skip animations?

[Xebec]

After then end of your turn when the AI is doing it’s thing - is there any way to tell the game to skip the animation part for unit movements, so it just computes and goes right to the next turn?

[Zerradio]

You might mean:
Show AI Moves
Un-check that in PREFS and see if that does what you want? Then you can review yourself with HIS.