I've now tried two cases, the Spigen Neo Hybrid and the UAG. Didnt like the Spigen at all. Love the storm trooper look of the UAG but that thing is nearly impossible to remove and it doubles the thickness of the phone. Plus, as a huge fan of the appearance of the Note3, I'm not sure I'd really like any case at all.
Thinking of throwing a tempered glass protector on the screen and calling it good.