I'm not making recommendations in this company, merely relating some experiences. About twenty years ago I bought a Canon Digital Ixus 300 to replace several bags full of Pentax equipment, none of it digital. (And none of it used much after I bought an Olympus electronically controlled but still film camera for idiots and found it a huge pleasure to use in various semi-manual modes. I loved the moonlight flash on both that old Olympus and the Ixus. Very flattering if you're taking many candid shots of women you don't know all that well.) The Canon was chosen, despite the expense (the full kit was over a thousand punt, probably about two grand American, Dan), on professional advice from the sports photographers art my paper, because it had the best lens of the small digital cameras then just becoming widely used. I used it to take photographs for publication, portraits, landscapes, whatever I was writing about.
I also have a sports movie camera, probably water resistant rather than waterproof, never really tested, to collect evidence against motorists; it is mounted permanently on my bike with a gorilla-type bendy tripod. Cheap, as I don't remove it when I leave the bike, and expect it eventually to be stolen. Kodak Zx1, eminently satisfactory at what it does. About fifty bucks at Amazon. Not a proper camera but in the right hands it takes a respectable still photo and is more convenient to use than a phone camera, especially if your gorilla pod has a quick screw fitting.
Yesterday I replaced the Canon Ixus with an Olympus D-720 that is currently on sale at Lidl, a German supermarket chain, at €99. (Generally speaking, where I live an Olympus camera of that quality would be about two and a half times that price, which is what my wife paid for one of the mu models from Olympus.) The 720 is described as a "Super Wide" 10x optical zoom camera. Weight is 5.5 ounces and it seems sturdy enough in its stainless shell, though my wife's mu model, in lightweight ali, is (subjectively) much lighter. There is a electronic zoom beyond 10x too but it can be locked out. Large three inch screen, not touchscreen. Control buttons logical but too small to be handled with gloves. Movie modes both low and high def. Full manual control if desired, including ISO settings for those moody, grainy fake SLR shots. 14 megapixel, so it can make a respectable size print at a reasonable resolution. No experience with it. I would want to see the screen (more than one level of contrast, if I remember correctly) in bright sunlight before I recommend it to a sportsman. USB recharging, of course, but then all these small, jewellery type cameras have that now. Of note is an ultra-macro focus of a little over half an inch, in case you want to make portrait studies of the crickets that will keep you awake. The case is very nice, with a belt loop for the trigger happy tourist, but worthless for a long-distance cyclist as it is of fold over design with elastic sides, and four open places to let in water; budget for a more practical case for your use.
I had such good experience with the IXUS for so long that, while mine is a big chunk of stainless steel, I have no hesitation in recommending it's newer and especially littler sisters to people who ask me to name a really good general purpose camera. My son has a tiny one, without some of the bells and whistles, but it leaves a good deal of space in a shirt pocket, and the current equivalent can probably be had at the discounters for not to much over a hundred bucks. Frankly, I'm surprised not to have heard Canon's iXUS mentioned several times already. For a serious photographer the quality of the lens Canon fits must be a consideration. (The same consideration also puts the Fuji, which gets only one mention, right behind the IXUS.)
Andre Jute