[elcct]

I wouldn't mind onboard power supply though

[cmdrfred]

With a Zero with an on board power supply, Wifi, and Bluetooth the possibilities are endless.

[roywiggins]

Here's someone working on a ESP8266 module for the Zero, which will include a simple power supply:

https://hackaday.io/project/8678-rpi-wifi

Looks like they are planning to offer a few for sale eventually.