This is what I have. Super slim, and has a nice bezel/edge on the face: http://www.amazon.com/gp/product/B00FEQU1NG?psc=1&redirect=true&ref_=oh_aui_detailpage_o00_s00
I really like my Diztronic Matte Black case from Amazon. (Bonus: Verizon model.) It has a great feel compared to the somewhat slimy back of the G2.
Personally, I love the form factor of a G2 without the case... I just have been using one because I can't stand having a Samsung-like plastic on the back of a phone. I will most likely skin my phone soon.
I also have the Diztronic and have used one on every phone that I have owned since the Droid Bionic (about 5 phones since). On the G2 it is no where near as slippery of the TPU-like case you get from Verizon or the phone naked; as far as protection it feels like it will do a decent job of protecting my phone. I've dropped all of my previous phones from about 5 feet onto concrete with a Diztronic case and have yet to get any damage on them or the case. This is the exact one I have, I also have the similar one you get from Verizon, the LG Quick Window, an the Belkin flip case but I like the Diztronic the most.