Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
Yep, I've got Civ5 on my 2012 i7 Mini with 8GB RAM and Fusion Drive. I haven't played it much so can't give you a detailed account but it was certainly playable at 1920x1080 with middling settings. It depends a lot on exactly how far out of the map you zoom, it does begin to stutter if you zoom out a long way. I never had any problems that limited playbility. Perhaps if you got loads of units on the screen it might slow down more.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.