Heres the list I could think of (based on the budget given w/o keyboard, mouse & monitor):
http://www.newegg.com/Product/Product.aspx?Item=N82E16811119233
^ $60 Cooler Master HAF 912 case (I have the same case)
http://www.newegg.com/Product/Product.aspx?Item=N82E16822148840
^ $55 Seagate 1tb hard drive
http://www.newegg.com/Product/Product.aspx?Item=N82E16813128659
^ $65 Gigabyte GA-F2A88XM-D3H FM2 AMD motherboard
http://www.newegg.com/Product/Product.aspx?Item=N82E16817151088
^ $130 Seasonic 650w power supply (comes with 7 year warranty)
http://www.newegg.com/Product/Product.aspx?Item=N82E16820231277
^ $48 G.Skill 2x2gb DDR3 1600 memory
http://www.newegg.com/Product/Product.aspx?Item=N82E16819113282
^ $60 AMD A6-5400K Dual Core 3.6ghz cpu
http://www.newegg.com/Product/Product.aspx?Item=N82E16832416806
^ $100 Microsoft Windows 7 Home Prem 64-bit (this will be required if you wish to upgrade your memory at any time in the future)
http://www.newegg.com/Product/Product.aspx?Item=N82E16814127763
^ $85 MSI Radeon R7 250
Total (before possibly s&h): $602.92
Please feel free like always to give better suggestions. Mind you that im not the best expert on AMD video cards. Also the OP didnt specify which country they are from, so I figured to post American prices. Please inform us otherwise if you use different currency.
My suggestion is to try and find a way to set aside a little bit more money so you dont hurt yourself on performance.