Digital compact cameras with fix mounted lenses both zoom and fixed focal length are the choice for many. But if you really look for highest quality the choices are very slim. Bright lenses, small body, and high quality sensors are basically owned by Sony RX100 and Fujifilm Finepix X.
Overall, the choice for my use-case „(1) snap-shot“ camera is very clearly the Sony RX100 III. It is not only very small (101.6 × 58.1 × 38.3 mm³), light (290g), and ergonomic, but also bright and sharp with its 1:1.8-2.8 Zeiss Zoom 8.8-25.7mm. This is a typical 24-70mm zoom in the FX language. 20 MP is also more than enough for this use case. The magazine fotohits offers all technical data and details test results.
It only misses the GPS sensor.
That’s why it is on my Amazon watch-list. The official price is €850 and with €720 online it is a fair deal.
Fuji just released their new X30. Foto Hits technical details. Maybe check again? It is bigger and heavier: 423g, 118.7×71.6× 60.3 mm³ but offers a longer zoom: 7.1-28.4mm which translates to 28-112mm in FX. And misses a GPS, too. It has only a WiFi interface to smart phones to capture location data to store them in the pictures.
This blog has a nice Sony RX100 comparison also with Lumix GM1.