A proper gaming laptop would cost you about $1000( i7 and GTX765M ), this is the cheapest one i could find:
CyberpowerPC Fangbook Evo HX6-110
This would basically be able to run games at 1080p at medium settings probably.
At your budget look for models with GT 745M, GT 750M or GT 755M.
They are not nearly as fast, but they will run games ok on 1366x768, an since most laptops have that still. They would be sufficient.