Yes there is quite a range, one that immediately springs to mind and at good value is the GIGABYTE GA-78LMT-S2P AMD760G it offers AMD 3000 Radeon graphics but as im a NVIDIA user im not sure what it offers in terms of performance but any integrated graphics are going to be low-end compared to dedicated cards.
Im a bit of a Gigabyte Fanboy so i'd suggest any one of the AM3+ boards they offer with integrated graphics.
Another suggestion i could offer would be to go for one of AMD's new APU's which is a CPU/GPU in 1 chip theyre reasonably affordable and the motherboards that run them (FM1 or FM2 Sockets) are equally affordable.
But ultimately i would suggest along with many others to go for a dedicated graphics card as long as the board you have or are getting along with your power supply are equipped to run it, even if its a low end GT630.
Here is a link of a video card heirachy chart that helps determine performance of integrated video with dedicated that should help you make a decision. Graphics Card Hierarchy Chart : Best Graphics Cards For The Money: October 2012