Qmadix Note 5 Case & Cover
A relatively new brand to me that makes some pretty excellent cases and screen protectors is Qmadix. The Qmadix X Series for the Note 5 has a dual-layer design with a soft inner shell and a hard exterior, and it looks great. See our full review.
The cases are cheap yet get the job done, and the company has some pretty good screen protectors as well.