Video Card:Club 3D Radeon R9 270 2GB Video Card ($185.38 @ Newegg) Total: $185.38 (Prices include shipping, taxes, and discounts when available.) (Generated by PCPartPicker 2014-03-24 18:30 EDT-0400)
Most graphics cards in the low end (and high end for that matter) give you poor value for your money, the R9 270 (and 270X) are great cards, and the sapphite one is $199.99
Video Card:Club 3D Radeon R9 270 2GB Video Card ($185.38 @ Newegg) Total: $185.38 (Prices include shipping, taxes, and discounts when available.) (Generated by PCPartPicker 2014-03-24 18:30 EDT-0400)
GeForce GTX 750 Ti isn't around the same performance range as Radeon R9 270, it's about the same as GeForce GTX 650 Ti BOOST and in some cases worse in performance, but performance per wattage is pretty damn awesome!
If you so choose you can overclock the 270 to make it basically a 270X, which I know from experience can run many games maxed or high on 1080p!
Yes, AMD FX-6300, 2×4GB DDR3 1600MHz and Radeon R9 270 can run Battlefield 4 at DirectX 11 and 1080p full ultra 43 frames per second in multiplayer with 64 players, with AMD's Mantle API about 54.