I have used Canon DSLRs for years (10D, 5D, and 5DII), but for a trip to France last May I decided I didn't want to have to carry a bunch of lenses, so I went looking for something smaller but that produced good images.
My local camera shop owner suggested I look at the Sony RX10, which is the big brother of the RX100, and he let me take it out of the store for a couple of hours to try it out with my own memory card in it. I was blown away by the sharpness throughout the range of the Zeiss lens, so I bought it and I've been very happy with it. In fact, since returning home I still haven't used my Canon 5DII, which feels so much heavier and awkward.
The specs on the RX10 are very similar to the RX100, except for the following:
The RX10 Zeiss lens is 24 to 240mm (35mm equivalent) while the RX100 is 24 to 70mm,
The RX10 is thus much longer, even with the lens collapsed, and
The RX10 weighs a bit more than twice as much as the RX100, and
The RX10 costs about $300 more than the RX100.
I find the menus on the Sony much less confusing than those on my Canons, and the weight is comfortable for me to carry for hours.
The RX100 also has a Zeiss lens, which is probably excellent if you don't need anything longer than 70mm (35mm equivalent).
If you feel you want more at the tele lens and are willing to pay money and weight for it, I'd suggest checking out the RX10II. But with the similarity of specs all the way down between the RX10 and RX100, I would expect the RX100II to be a winner.
I hope this helps a bit.