Currently?
Olympus Stylus Tough for use on rainy days (any other waterproof camera works).
Canon Rebel XS for most of my photos when traveling by car or RV, or for any intentional photo outings, particularly scenery. Two kit lenses (wide to portrait zoom, moderate telephoto zoom) covers most of my needs. Medium duty tripod I've had for 40 years is an important part of this kit. But any DSLR or mirror-free interchangable lens camera made today covers the same needs for me and if I were starting again it would probably be a Sony Alpha mirror-free or a Micro 4/3 camera kit from Olympus or Panasonic.
For a pocket camera, street photography and most "tourist" situations, I carry a Sony RX100 (3rd generation). This one is also wide-angle to short portrait, has a very fast lens, fast shooting performance, and makes excellent pictures (has a very large sensor for a camera this tiny). The focal length range fits my shooting style, the camera size is much smaller than the M-series Leicas I used for the same situations in my film camera days (and for those i needed to pocket a second lens). But this single camera cost more than my whole entry-level DSLR kit, and since it is not waterproof, it doesn't cover all my needs.
When traveling overseas, in order to deal with hand luggage restrictions, the Sony and Olympus go into my carry-on (with compact binoculars) and the DSLR kit stays home (unless I have a specific plan to use it).
If your goal is wildlife photography, you may want a very long telephoto. This adds a lot of cost to a DSLR or ILC kit, and can be considerable weight.
There exist more compact superzoom cameras with sensors 1/8th to 1/4th the size (area). The smallest are promoted specifically as "travel cameras." These are OK if you don't mind the reduced image quality (lack of actual resolution, image noise). Canon, Panasonic, Sony, Olympus all make decent compact superzooms, storing at near compact size.
In a more DSLR-like form factor, Canon, Casio, Nikon, Fuji, Panasonic and Pentax have had offerings the past few years. I started out with one of these (Canon S1) as my first digital travel camera (second digital, first was a S-series Canon compact) but by the time I drowned it trying to take pictures in the rain, all the replacements had gotten larger than what I wanted to carry, so I bought a waterproof pocket camera and moved on to DSLR kit for the rest of my work.
I'm not brand partial. When my daughter asked for a "camera that takes good pictures" I bought her the entry level Nikon DSLR (3000 or 3100) because she had been using a Nikon compact and the controls were similar. I got myself Canon because I had been using Canon compacts and the controls were similar. The Sony RX100 was "I want the best camera in this category" and I am still trying to get used to controls mostly new to me. In the film camera days, it drove me nuts switching back and forth between my Leica's and the Nikon SLRs I was using at work, because they focused in opposite directions. Consider this factor if you already have a lot of experience with one particular camera.
Tom Test
Itasca Spirit 29B