I have this one and I consider it the best inexpensive case I ever saw for Note 3 (the raised border over the screen protects it surprisingly well):

http://www.amazon.de/mumbi-X-TPU-Schutzh%C3%BClle-Samsung-Galaxy-Schwarz/dp/B00DCY1XIO/

The buttons are also protected but you will need to use a firmer push on those.

(the US Amazon has this this one but it looks to be a little different at the corners).