Any gigabyte motherboard using the H55 or H57 chipset will be compatible with onboard graphics for an i5 (apart from the i5 750) The built in graphics for i5 CPU's is actually built into the chip and not the mobo, so you just need an 1156 mobo with the outputs/right chipset. All of these should be compatible: p.s. this will only work with i5 650, 660, 661, 670 and the i3 chips.
That would probly be funny if that was the question being asked (i5 Compatible Gigabyte Motherboards) I no what ones are compatible, just what ones have graphics build in. http://tinyurl.com/yboably