Is this a good budget build?

Solution
abandon completely corsair low end psu. they start to be decent from RMi, RMx, get the XFX TS or an Antec EA Green if you are on a budget.

R9 380/r9 380x are more powerful than gtx960 and cost the same
You can overclock with the ASRock B150 Gaming Hyper motherboard, if you can find it. So if you pair it with an i5-6400, you'll have a cheaper CPU+mobo combo yet better performance. You can also run DDR4-2800 with the ASRock Gaming Hyper, use that to your advantage.
 
abandon completely corsair low end psu. they start to be decent from RMi, RMx, get the XFX TS or an Antec EA Green if you are on a budget.

R9 380/r9 380x are more powerful than gtx960 and cost the same
 
Solution