For Lenovo G series, you can check out this one. It comes with two different screen size. Perhaps you would like the 14" one.
Lenovo G40-80 80E400-G5MJ 14" Laptop/ Notebook (i7-5500U, 1TB, 4GB, AMD R5 M330, W8.1, 2.5kg) RM2,402/-
Lenovo G50-80 80E502-6DMJ 15.6" Laptop/ Notebook (i7-5500U, 1TB, 4GB, AMD R5 M330, W8.1, 2.5kg)RM2,402/-
Lenovo Z series usually come with a 15.6'' screen. But the following model seems to fit your requirements other than the screen size. So, do check it out too.
Lenovo Z50-70 59442164 15.6" Laptop/ Notebook (i7-4510U, 1TB, 4GB, NV GT840, W8.1, 2.4kg) RM2,522/-
I went to check a few of these models out and right now I'm leaning more towards the Lenovo U41-70 & G40-80.
Also came across the HP Pavilion 14/15 series when I was surveying and they look pretty okay too, still reconsidering. Any opinions on the HP Pavilion series?