If you plan to game, never chooses Intel Integerated graphics card. For Gaming, you would get either a ATI or Nvidia model but i have compared all of those above from your links and have found the M7720 the fastest computer. All the specifications are higher than the other computers you have linked to and should run most of the games smooth. FYI, Graphics cards process the images you get on your monitor, does all the graphics related stuff, like game graphics (what you see in the game), graphics quality, etc. If you don't have a graphics card and have a built-in (integerated) one, then it will produce poor performance and will stress out the CPU more and can cause system restarts or overheating issues. It also has a lot of lag if you choose to game with a CPU and integerated video card.