Looking for a mobile 15" laptop

[rotmaster]

Hello, I currently have a strong gaming desktop to fulfill my gaming needs, but for university I need a mobile 15" laptop.
I am looking for a 400-500-600$ laptop, 15" max, my bag wouldn't allow a bigger laptop. It needs a matte screen, backlit keyboard, an intel processor, to prevent overheating from the amd processors. And if possible, a decent ssd, 120gb or smaller would do just fine.
I just need a light laptop for movies, and possibly one old game or two that does not require a godlike graphic card.
Just shoot some ideas for laptops that you are currently using and that you love.
Thanks all!

 

[metalicgeek]

http/www.newegg.com/Product/Product.aspx?Item=N82E16834315065

This 15.6" laptop has a nice 1080p display, a Broadwell i5 CPU, and a respectable GeForce 940M, which can actually play modern games at low settings, and older ones at medium settings. $529.

 

[velo3100]

My current laptop maybe out of your budget as it cost £800. It is an asus n56vz with an i7 m cpu and a gt 650m. This is lower than the gt 940m. I will need to know what games you actually play and at what settings as if all you play is lol at the lowest settings then my laptop should be enough.