No cards in the 70$ range can even play those games. If you can get ~50$ more, you can get this one: HD 7770
or this one: GTX 650
both are nice enough to run those games at 25+ FPS on Low-Med for BF4/Crysis 3 and Med-High for Ghosts/BF3 (1080p) without AA.
Oh, and please try not to use the Caps Lock too much.