This is not meant to be a comprehensive review of the Fuji X-T20, but I will say that for most travel related applications this could very well be the best camera on the market as of writing this and here's why.
Lugging around a giant DSLR camera is overkill for most snapshots and the gap in image quality that used to exist between Full Frame and APS-C or Micro 4/3 sensors is now marginal at best. Even compared to compact cameras like the Sony A7SII or Fuji's big sibling the X-T2 the T-20 is just that much smaller. With a pancake 18mm lens this camera slips easily into a jacket pocket.
When I asked at a nerdy professional camera shop the Fuji cameras won hands down in the compact camera department and the one reason was colour. Whether or not you choose to utilize the built in film colour profiles that harken back to the days of Velvia and Sensia this camera does produce beautiful colours.
While it lacks some of the features required to be used as a truly professional video camera (like a headphone jack for audio monitoring) it does support 4K shooting and would make for great scenic videos or travel b-roll. You could even use this to shoot interviews provided you had an additional audio recorder and microphone. There is an odd-sized 2.5mm microphone jack that could be useful, but I wouldn't be likely to ever utilize this. For the money the video quality from this camera is excellent but be mindful of the audio constraints. Really this is no different than shooting with any DSLR or mirrorless camera.
Adaptors can be purchased to utilize other APS-C lenses, but from what I have seen the Fuji lenses are excellent and there seems to be one for every purpose. For travel I would likely limit myself to 2 or 3 at a maximum. Likely I would use the 18mm pancake lens, a 56mm for portraits and a 16-55mm zoom if I could afford it. For most things I would just stick with the 18mm which provides a 27mm field of view if you're thinking in 35mm terms.
Using Fuji's app it is possible to transfer images via WiFi from camera to phone eliminating the need for a laptop to post your beautiful images. Instagram lovers eat your heart out.
You could argue that the smaller format APS-C sensor is a downside one could argue that slightly more depth of field is a good thing in most situations. Nice portrait bokeh can also be achieved through utilizing a longer focal length like Fuji's fantastic 56mm prime. In comparison to the X-T2 you lose some functionality and build quality in the body, but ultimately the sensor and image processing is the same between the two cameras for considerably less money. When we're talking about travel cameras I don't see any downsides to this camera for me personally.
Buy this camera if you're looking for a compact camera for travel or for a smaller camera to compliment your existing line-up.