I did a quick search of this thread (not a full read) but didn't come up with the answer to this. So I tried it myself, and got an answer, and now I'm posting it!
It's very easy to power a Fulla 2 with a OnePlus 3, using a USB Type-C adapter, and a standard usb/micro cable. My assumption is that it has to do with the power delivery capacity of Type-C, so I'm betting most Type-C phones will be able to do it. I don't have an a/b setup, but from manually switching between my computer and my phone (using Spotify as a source on both) the levels and quality seem to match pretty closely.
It's possible that there's a power deficiency when powered by my phone, but I haven't hit it yet.
I'm waiting for Amazon to deliver a Type-C-to-microUSB OTG cable, but once they do I'll update this.
My biggest cans are only 50 ohms (Monolith M1060) but they get plenty loud, and the sound is pretty good. They are open, and in a quiet room I listen at around... 10-11:00? 2:00ish for really fun songs.