OK well
@Mark1966 that 'bump' functionality as known as NFC. It only came in with the MkII onwards of the Sony RX100. No drama as the MkII is still in your price range. Having said that there is also the option of a wi-fi connection. Most modern cameras have one otherwise most accept the Eye-Fi cards which make it possible.
So you can see
the official blurb and specs on the RX100MkII here. You can still get them new for $600-650. Otherwise used they hover around the $350-500 mark. A very capable and well-regarded camera. Most useful place to read reviews is
here and
here.
So you get the 1: sensor, 20MP, 28-100mm lens that starts at f1.8!!! Tilt screen. And if you want a viewfinder then one can be attached.
Another option in this class with almost the same specs (but a little better IMHO) is the Canon G7x - there's actually one listed on
eBay as we speak for a BIN of $500.
Review of the G7x here. The Canon has a faster lens on the long end with f1.8-2.8 vs the Sony with F1.8 - F4.9. That's a hell of difference! If it were me, the Canon is a more compelling choice. Just the Sony's are more popular so more on the used market.
Finally in the fixed zoom lens segment this is also the Fuji X20 or X30 too. But that might be a bit quirky.
I mean these 1" sensor cameras were designed with your all-round travel purpose in mind. Up from there is the likes of the Canon G1X. The MkI can be had for well under $500, the newer blow your brains out MkII is over $500. These have a sensor a similar size to the 600d.
Another camera that has rocked this niche is the
Panasonic Lumix LX-100. If I were in the market for this line of enthusiast zoom compact, this is where I'd aim. Nice and small, has a responsive (well-refreshed viewfinder), fast lens, and got controls where you want them, etc.
What always helps is
round-ups like this to see what's in your niche.
BTW:
@eggbert , folks will still buy the 600d, but you'll not get much. Sorry but the entry level xxxD prices drop a lot and a lot quicker than the prosumer xxD models and the pro xD models. Unfortunately, buying from Kogan makes it a grey import which will affect the resale. I know it's out of warranty anyway, but the market is funny about grey...