Well, from what I know, all the games on Xbox or Playstation are mainly built for that console, and come pre-fixed graphics wise to suit that machine. And depending on how much you pay for, or what you put in your PC, determines how well your gameplay will be. On certain games, the Xbox or Playstation can barely handle a solid 30 fps at 1080p, while with other games, it rocks it at 1080p @ 60fps. And on some other games, PC completely destroys Console games. Also, frame drops will also depend on your internet bandwidth. So all in all, if you build a good gaming-dedicated PC, and have decent Wi-Fi, you're good to go.
Hope this helps!
~Term