You should be able to run most games at 1080(if not all) and you should have no problem adding 2x AA or more depending on how demanding the game is. I know there are a few games people said they had to turn aa down or off to maintain 60fps with the 860m.
Intel i5-4690k @ 4.6 GHz | Gigabyte GTX 970 4GB G1 | 8 GB DDR3 @ 1600 MHz | Windows 10 TP | Dolphin 4.0-6811