The Asus N56VZ RB71 is one of the few notebooks under 1000 dollars with full HD display and i7 processor with full discrete graphics. It comes equipped with a 15.6 inch display with 1920 x 1080 resolution, 750GB hard disk and Nvidia Ge Force 650M graphics to handle games in high detail with ease.
Specs include Core i7 3610QM processor, 15.6 inch display (full HD), 2GB VRAM Nvidia 650M GPU, 8GB DDR3 RAM, 750GB hard disk, 6 cell battery and windows 7 home premium 64 bit operating system.
Read the Intel Core i7 3610qm benchmark to find out more about it.
If you want a big notebook without breaking your bank, Asus A73 AS31 would also be a good choice. The A73 comes with a 17.3 inch display with 1600 x 900 pixel resolution and has Core i3 2350M processor.