GT 710s are quite good. I use to have one before I upgraded a while ago. It ran minecraft very well. Unless you're planning to do big mod packs or make laggy particle machines or something like that, a 710 would probably do the trick. GT 1030s are also very good. They are better than 710s, but are more expensive. You could also get a GTX 650 or 650 ti, a GTX 750 or 750 ti. There are lots to choose from. I don't really know the general prices of some of these, but they should all run minecraft just fine. Oh, and another thing: I think all of these except the 1030 and 710 require a PSU with more then 300W. Although I ran my 710 (which requires a 300W PSU) with a 240W PSU and it worked just fine.
Hope this helped!
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