Any graphics card upwards of R2500 won't have any problems running games on High and 1080p. Good value for money cards are: GTX760, GTX770, PowerColor Radeon HD7870, PowerColor Radeon HD7950, RadeonPowerColor HD7970. PowerColor series are from Wootware.co.za. Rebeltech.co.za have specials on a GTX760 and GTX770.
The GTX770 is just a bit far to stretch your budget, IMO. A GTX760 will be more than capable. Keep in mind that the new Radeon GPUs will be here in a few (2-3) months.
What resolution are you running at or thinking of running at?