Click image for larger version  Name:	Polaroid-cube.jpg Views:	1 Size:	24.2 KB ID:	5129
This tiny camera capable recording 1080p30 can be found for $59 on Amazon.
There is also an improved version of this cam - Cube Plus (Cube+) which is based on more advanced AIT8427 chipset and can record video in 2k60 (1440p) and 720p120.

Polaroid Cube and Cube Plus firmwares: Cube Cube+