It would be nice if the game had some option that allowed to skip AI moves/battles that are not related to your own civ.
("Skipping" = they would happen of course still but the player does not have to watch them, as they take their time)
Also quick battles are nice, but IMO waiting for the final explosion to move on could come somewhat faster...esp. late game if you can fight several times per turn and/or fleet. Some games also allow to adjust move/combat speed. GC 3 has it for the battle viewer, but would be cool for the quick on-map battles/moves too.