My Gaming Computer Rig

PCI Gen 1, 2 and 3 are all backward-compatible with each other. Your Gen 3 card will work in a Gen 2 slot.

Easily hit max settings in Minecraft.
Skyrim and games similar will run at max settings with respectable FPS. BF3 and Crysis 2 you may have to lower some settings.

Have you bought these components already?

Thats a Micro-ATX board, so it will fit in a Micro-ATX case.

Thank you i will be recording what fps will i get on minecraft and skyrim thanks for the answer and i was talking about the gpu will it fit in a a micro-atx case ?

Depends on the case, but generally it should be fine.

Cant say for sure, but the hardware is more than adequate for ~50FPS in Skyrim just gaming. Minecraft I suspect will hit the V-Sync limit of 60.
This review on the Gigabyte 7850 (the Sapphire should be similar) says it will have an average of 87 FPS and min of 48 @1080p.
http://www.vortez.net/articles_pages/gigabyte_hd7850_oc...

Whether recording will impact your performance depends if you are recording to the same drive the games are located on and the speed of said drive. And whether your CPU will bottleneck performance I am unsure of.
This might help.
http://www.youtube.com/watch?v=bEGDgzlc7mA

Minecraft is completely CPU I believe, and I'm pretty sure it is, as I have the same card, and I don't even get 1% GPU Usage. As I have the same card, it goes at around 40fps at Ultra 1080p in Battlefield 3, however mine is clocked like a champ at 1400 Mhz Core and 1500 Memory, which is extremely close to performance levels of a 670.

Skyrim is an extremely easy game to run, no need to worry about anything there, however its not very well optimised, so I recommend getting skyboost.

Crysis 2, depends whether you run Dx9 with no HiRes Textures, or Dx11 with HiRes Textures. Either way, maxed out, at stock clocks my card handles this at around 40 fps, however on Crysis 1 maxed out at 1080p with 8x AA, I get as little as 9 fps when stock clocked. Obviously Crysis 1 is less optimised, but it looks much better.

This card is one of my fave cards up to date, as the overclocking ability on the GPU is amazing, as you can see with my card, luckily enough I got a extremely high overclock, however it still heats up like crap. I tend to keep it on mild overclocks half the time, but when I need the extra fps I generally just ramp it up before I play.

The card is only around 8 inches long, so if you have enough space for that in your case, it should fit.