I would say your best bet is something from TOSHIBA. I have a TOSHIBA Satellite and it can run LOL and MC Smoothly. However, if you are plying on Multiplayer servers hosted elseware, such as Minecraft, then your connection to the server is generally what lag is. In Campaign and Singleplayer modes, this laptop is great, and I got mine on EBay for around $450 USD.