Another vote for Panasonic compacts, but I've used the ones with no interchangeable lenses (various models). I like that they have an excellent image stabiliser, good picture clarity and generally quite a good zoom. Some good scene modes to make shooting things like waterfalls, sunsets, portraits easy if you don't want to think too much about it.
I must admit that my phone has become my basic point and shoot camera now though, it's quite small and I have it with me anyway... I have an HTC One X and sometimes use some photography apps - Camera ZOOM FX, After Focus, Photoshop Express etc.