If you want better answers, you should probably define "other games". As stated before, minecraft is not a very demanding game. It terms of Minecraft, most 3rd and 4th gen i7 laptops will be able to run at an acceptable frame rate using normal render distance and fast textures. If you want to have a further render distance, texture improvements, and other various graphical options, you may want to look into getting a laptop with a discrete graphics card. The lenovo y500 is a fantastic choice, albeit a bit out of your original price range. Last year's model with the 3rd gen i7 with 650m as well as this years 4th gen i7 with 750m will both run minecraft very well. Just as a real world example, a relative of mine recently picked up an Asus...