This may seem strange, but the truth is, trying to find good descriptions of headphones is hard enough, let alone actual product reviews. The one that I found, that looked promising, turned out to only be stereo over a wire, and was mono over bluetooth.
1. Stereo audio playback.
2. Microphone (can be mono)
Desired: Sits on top of ear (so I can still hear the world around me)
Slightly negative: Envelopes ear.
Absolutely not: inserts inside ear.