The Sony RX100 is a very good choice, indeed... from the original RX100 to the most recent RX100 mark V, you have a wide gamut of prices/features to choose from. The main choice to make is between going for the original and mk II (which have a 28-100mm equivalent zoom lens) or the mk III-IV-V (which feature a 24-70mm lens). You give up on the tele end but gain an important 4mm on the wide end. There are, of course, other differences between each iteration.
Another good alternative is the Canon G7X and G7X mk II, which have a 1" sensor similar to the Sony's. The G7X and G7XII featur