For five and a half years now I've been using an Olympus E-1, which as digital cameras go is now something of an antique, since it was released seven years ago.
I bought the E-1 with a 14-54mm f/2.8-3.5 lens — a fast standard zoom (28-108 equivalent) with decent macro performance (0.52x equivalent) — and the combination has been with me all over the place. I've taken it to New Zealand, Mongolia, Vietnam and Cambodia, and most recently Turkey, among other destinations. I've taken 26,000 photos or so with it (not that many given the shutter is rated to 150,000 actuations) and it's performed admirably.
The one huge problem with it — and I knew this was going to be the big problem when I bought it! — is that it is a big, heavy camera, not really suited for someone who travels light. With a spare battery, my basic camera bag weighs in at 1.65kg, on top of which there's the battery charger and usually a light telephoto lens. (I realise this is not heavy by professional standards; you don't need to tell me how much heavier a Canon 1Ds is!)
What with the netbook as well, my luggage now can be two thirds electronics. And I sometimes go out without the camera, because it's so bulky, and miss photography opportunities as a result.
It would also be nice to have some of the features of more modern cameras: video capability, better high ISO performance, colour histograms, faster review times, a larger LCD screen, more than 4x zoom, and so forth.
The problem is that, even after seven years of seemingly frantic camera development, there is no DSLR smaller and lighter than the E-1 which matches its features, in particular the weather-sealing and 100% viewfinder.
So I'm contemplating giving up on a replacement and instead supplementing the E-1 with a much smaller and lighter camera, maybe an E-P2.