Ultra on even crysis 3? @720P

Hello, i would like to know as a soon to become hardcore gamer,

Which graphics card would give me 60+ FPS in ALL games even through lag spikes.

RESOLUTION: 1280 x 720 (720P HD)

APU: A6-3650
RAM: 4GB DDR3
HDD: 1TB

Please help, im unsure the HD 7770 is good enough...

Im thinking in favour of a DX11 card with at least 1GB VRAM and Nvidea for the Physx

Hardcore gamer meaning i love the eye candy and the latest games !

[ E.g Modern warfare 3, Battlefield 3, Planetside 2, Gta V, Crysis 2 & 3 "soon to come" ]