Just realized that I linked the "edge" case to you. Did you order from the link I sent you? If so, I'm really, really sorry!
Here is the one for the regular s6! Hopefully you can cancel the other one! http://www.amazon.com/dp/B00QU4PN84/ref=cm_sw_r_udp_awd_.4Sjvb14G3Q1T
I have the case by Obliq
http://www.amazon.com/gp/product/B00RYCQNXK?psc=1&redirect=true&ref_=oh_aui_detailpage_o05_s00
And am also using this one from Spigen
I have this case http://www.amazon.com/gp/aw/d/B00QU4PN84/ref=mp_s_a_1_4?qid=1445035573&sr=8-4&pi=AC_SX110_SY165_QL70&keywords=Galaxy+s6+ultra&dpPl=1&dpID=51dOvIr7SeL&ref=plSrch.
I like it. Easy to grip and its REALLY thin.
I'm going to use this one- http://www.amazon.com/dp/B00SV63Q4C/ref=cm_sw_r_udp_awd_RoRjvb1W7DJHS
Some people don't like the TPU aspect of it, but I don't really mind. There are also a couple more colors (or lack of color for the "clear" one), if "mint" isn't your style.
edit- so sorry! I accidentally linked to the S6 edge case. Here is a link for the regular s6 case- http://www.amazon.com/dp/B00QU4PN84/ref=cm_sw_r_udp_awd_.4Sjvb14G3Q1T