Great budget you have there
Still, do take note that performance, weight and battery life don't really get along, you have to compromise abit
15.6"
Asus
N550JV-CN077H, i7-4700HQ + Nvidia GT750M + (1920x1080; IPS matte)@RM3699[2.7kg], 4GB, 1TB, W8, backlit keyboard

Lenovo
Y510p, i7-4700MQ + Nvidia GT750M(GDDR5) + (1920x1080)@RM3399[2.7kg], 8GB, 1TB, W8, red backlit, swappable ODD, 120w psu, 2 yrs

Illegear Configure Illegear units here: http://www.illegear.com/
Illegear RE-15, i5-4200M + Nvidia GTX765M + (1920x1080)@RM3499[2.6kg][Onkyo, SoundBlaster Cinema], 4GB, 500GB(7200rpm), FreeDOS, [CPU Options: i5-4200M - i7-4900MQ]

*prices in RRP, negotiable
*use remaining budget to extend warranty to 3 years (except Asus since its very expensive and not worth it for the quality provided)
*Use remaininng budget to upgrade RAM to at least 8GB and also HDD to SSD (very important!). These will give you faster performance in terms of work and also gaming.