Laptop that can run most games at 60 fps?

I've been looking to get a laptop that can run casual games like LoL, Minecraft, and various Steam games at 60 fps. I have a Lenovo G500s and it's been slowing down a lot recently. My budget would be under 800. I don't really care about the weight, screen, or anything like that. Also, I don't know many computer related terms.

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