WOw, this thread seems to have gone to unexpected places! I'm going to side with Chris on just about every point.
But to return to the original topic, I like rangefinders for general photography 'cause they're quiet, and usually the lenses are a tad lighter so the total package size can fit better for many uses with less notice, less sound, less intrusiveness and frankly less SLR mirror wobble. As to qualification to comment, I have 2 Leica's (M4-2 and M6 TTL) and a recently acquired Zeiss Ikon Super Ikonta 3 with coupled rangefinder in MF - and I love them. And yes, I had a Leica CL way back in the day as well. I also have a 35mm SLR, 2 MF SLR's (Rolleiflex), and a Sony A7RII. To be fair, since most P&S's are "rangefinders", all of us of course have shot RF's all our lives - but generally without the benefit of the true, high end RF of the Leica, Zeiss and Contax (and many others) sort.
But there are limits and telephoto and macro photography are the two most obvious. I bought and quickly sold my Leica 135mm lens as just not adding enough to be worth the difficult handling in focus, framing and composition in that tiny little frame. Same focal length Zeiss 135mm lens on a Contax S2 renders beautifully on film and digital.
I have not had the pleasure of a digital Leica 'cause it was more $'s than I wanted to spend or justify to myself in one place. But from a distance, I admire Leica's desire to construct digital photography around a series of menu interfaces that would keep the focus on photography and minimize the management of the silicon system. Despite the praise, I didn't find Fuji's menus as good as advertised, or despite the near universal condemnation that Sony's were as a bad as advertised. But from the outside, Leica's look to be simple.
RF's don't do everything well there's a lot to like for much of what I like to shoot. And if you can focus with them, and for my bit, I find RF focusing simpler than the standard split image SLR (because the split an sometimes catch the light and obscure half of the split leaving me to tilt or shift the subject in order to "nail" it), then RF focusing is absolutely a wonder. And all the other features only add to the simplicity - and features that add simplicity is a phrase I just don't associate with much in the camera world.