The Sony FDR-X3000 Action Camera has been part of my Every Day Carry (EDC) for almost a year now. It shoots 4K, is extremely compact, image stabilized, has good audio without any additional external mikes, has a mike input, and now I have proof how decent it performs in super low light. Basically candle light.
Yes, there is a lot of noise in the shot but this is artificial candle lit dark. The sound is decent as well for a built-in.
Sony
FDR-X3000
Ultimate image stabilization from Balanced Optical SteadyShot Professional 4K with ZEISS lens and Exmor R CMOS sensor