Is this build any good? My first one?

http://pcpartpicker.com/p/36hCT
Will it run GTA iv Minecraft Day z NHL 09?
Also are there cheaper better options for a gpu, cpu, etc?

Yeah its fine, it will run them around 1270x720 resolution

Something like this would give you a much better performance for around the same price.
http://pcpartpicker.com/p/36pwR
Feel free to tweak some of the things if you feel like doing so.