For that amount of budget you can go to GTX 650 ti. It can play most games now in 1080p with great performance using medium setting. Highly recommended for tight budget.
This one seems to be one of the best
http://www.newegg.com/Product/Product.aspx?Item=N82E16814130839&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-_-na-_-na-_-na&AID=10446076&PID=3938566&SID=
If you could push your max budget another 15 dollars you could get a 7850 which would blow everything mentioned above out of the water: http://www.newegg.com/Product/Product.aspx?Item=N82E16814161426
Of course 7850 is the best option if the OP can afford more money . +1 to 7850