Hello Namikaze, one thing you'll need to note is your PSU (Power Supply Unit). A PSU can have PCI-E 6-pin connectors, which allows for better graphics cards. There are a few decent entry-level cards that require it. However, I don't know if you have any 6-pin connectors with your PSU, so let's assume for now you don't have any. Also, CPU info would help as I actually have the same-socket CPU as you so I can help see what is/will be the bottleneck.
Without any 6-pin PCI=E connectors, you can still get some very decent entry level cards.
Here are a few (The first is best, last is worst):
$94 (Remember, you can have a PCI-E 3.0 card in a PCI-E 2.0 slot, minor performance drawback will occur, however)
http://www.newegg.com/Product/Product.aspx?Item=N82E16814131481 - It's the best you can get with no 6-pin connectors.
$59 (Very decent card, will play medium for most 2013 GPU-intensive games, some even on high)
http://www.newegg.com/Product/Product.aspx?Item=N82E16814131440
Currently $50 (Alright card, but I'd recommend one of the above. But for a budget, this isn't a bad choice)
http://www.newegg.com/Product/Product.aspx?Item=N82E16814102994
The only other decent alternatives are on Ebay that I've found. However, I don't think most people like Ebay for buying video cards, so I'll only link one more card (Which is amazing for its price, but requires 6-pin connectors)
$89 (The worst model of its card, but considering this thing has the performance that's probably worth $110 or more, I'd say it's worth it.)
http://www.newegg.com/Product/Product.aspx?Item=N82E16814187203
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