I don't own a GR II, but I have a Nikon Coolpix A which is
very similar and I like it a lot. The A has specs & capabilities of a D7xxx series SLR but with a compact, mirrorless body and finely-tuned fixed lens. The leaf shutter is absolutely silent and allows for flash sync at all shutter speeds; up to 1/2000s IIRC. Image quality is fantastic, especially the OOC jpegs. Shooting with an optical viewfinder (an accessory available for both the GRII and A) changes the experience for the better... composing a shot on a fixed LCD backscreen is my least favorite ergonomic of digital photography.
My fanboyism might be showing, but another sleeper is the P340. It's sort of a 'miniature' version of the A with many more bells and whistles in terms of capabilities, albeit the with the dreaded fixed LCD.