One would expect a couple of micro-ATX motherboards to have more than one distinctive feature, that does not apply here.
Only the video ports of the H61M-DS2 DVI and H61M-DS2 HDMI are different, as can be seen from the names.
Other than that, they both have 4-phase VRM, four SATA 3.0 Gbps ports, 6-channel HD audio, Gigabit Ethernet and three PCI Express slots: one full-size PCIe 2.0 x16, plus two PCIe x1.
In addition to the above, Gigabyte implemented dual-UEFI BIOS (one for backup) and the Ultra Durable 4 Classic components (fiber-weave PCB, anti-surge IC, etc.).
Overall, the socket LGA 1155 mainboards (Sandy Bridge- and Ivy Bridge-ready) may be worth more than their price of under $50 / 39-50 Euro. One of them paired with Zotac's low profile GTX 650, or that single-slot GT 640 with three video ports, from MSI, could lead to very good systems.
Gigabyte Launches Very Cheap LGA 1155 Motherboards
They are completely identical, save for the display outputs
Gigabyte H61M-DS2 motherboards (2 Images)
... so hot right now