Be careful comparing integrated, laptop, and desktop CPU/GPUs on the same playing field. In general, integrated < laptop < desktop, but if you get the best laptop card you could outpower some desktop hardware. At a considerable amount of cash, of course.
If you want the most cost efficient, powerhouse desktop GPU, go for the Nvidia 660 or 760, or the AMD 6850 or 7850.
If you want a cheap, mid range dedicated GPU, go for the Nvidia 650/650 Ti or AMD 7750/7770/7790 depending on pricing and availability.
If you want a really cheap PC capable of running most 3D games, stick with what you have in the original post.
Keep in mind that you can get that PC, and throw in a graphics card + power supply at any time with a little technical knowledge.
If you want the most cost efficient, powerhouse desktop GPU, go for the Nvidia 660 or 760, or the AMD 6850 or 7850.
If you want a cheap, mid range dedicated GPU, go for the Nvidia 650/650 Ti or AMD 7750/7770/7790 depending on pricing and availability.
If you want a really cheap PC capable of running most 3D games, stick with what you have in the original post.
Keep in mind that you can get that PC, and throw in a graphics card + power supply at any time with a little technical knowledge.