any light and slim design is not recommended for heavy usage like gaming or long hours rendering, as excessive heat will be trapped inside the laptop and damage the internal components. however, you can look at these :

MSI GE40-2OC, i7-4702MQ + Nvidia GTX760M + (1600x900; anti-glare)@RM3999[1.8kg], 8GB, 750GB(7200rpm), W8
Illegear RE-15, i7-4700MQ + Nvidia GTX765M + (1920x1080;matte)@RM3599[Onkyo], 4GB, 500GB(5400rpm), FreeDOS [CPU Options: i7-4700MQ - i7-4900MQ]

I think you probably will want a FHD screen (1920x1080), a good screen panel (IPS) with proper colour calibration?
For professional video editing, you actually need a pretty good CPU + GPU combo, a SSD (so that video files load up and save fast).
In addition, you are looking for light and slim 

Raymond actually point you to the right brand, but maybe you should ask Prince J (he is from illegear) when is the RE-13 going to be released? 
https://forum.lowyat.net/topic/2613184
www.illegear.com
RE-13 will have 13" FHD screen, matte screen, IPS panel (you could customise and opt for 95% NTSC gamut panel if you want), illegear provide professional colour calibration, and the CPU+GPU will be powerful enough for your video editing jobs (gaming for you is just a "side effect" ). And you could customise the machine with 256 or 512G of SSD (which make boot up and app / files open and save so much faster). If you are in Klang Valley or certain cities in Malaysia, illegear also provide on site warranty service (good for peace of mind).
All in, should be around your budget.
And oh, if you are interested, illegear could paint the laptop shell with some amazing colour