THe GTX 650 2GB would be a good option but the only reason i'm not getting it now is because I'm waiting for the 650 Ti, as the normal 650 is equivalent to the last generation of Nvidia card, the 550 Ti. Answering your question, THe 650 will easily be able to handle games like Minecraft and even Battlefield 3 on high but I'm not sure about recording, I think you'll be able to get a good 40-45 fps whilst recording. It also depends on what capturing software you use.
