Oculus VR has for the last month been holding a 'VRJam' contest for promoting development towards GearVR.
I have gone through the list of finalists consisting of 37 games and 24 apps (these are the top 20% as voted by judges), all of them running on a Samsung Note 4 or Samsung S6 mobile phones.
Here are my personal favorites:
Captain Clark Adventures
Bazaar
Colosse
Comawake
Daydream Blue
Neuralgia VR
Andromedum
Private Eye - Case Files: The Wooden Lady
Ruins of Chronos
Scorched Battalion
Technolust: Thought Crimes