If you're looking for all of those qualities listed in your
first post, you're going to have a hard time finding it.
First of all, compact cameras are almost always going to have
shutter lag while they make up their minds about settings, so
asking for almost-instant shutter release is a tall order. On this
condition itself you'd be looking at getting into DSLR country
already.
Second, image stabilisation is good, but it has its limitations. If
your shutter speed is slow (as it would be for low light), you can
still get shaky pictures. No amount of technology is going to
compensate for inadequate lighting.
As the other guys have said, the higher your film speed, the higher
your noise. Crank it up to 1600 and you'll end up with grainy
shots.
Don't bother with a flash either. For something the size of a bus,
you'll get one part lit up and the rest in the dark - you've
already seen that in your first photo, and it doesn't get much
better than that.
The bottom line is that your best bet is to learn how to set up the
shot properly. Find the best-lit spot you can, take a few test
shots with the largest possible aperture size (which often means
minimal zoom) and work out the highest shutter speed you can use,
get your white balance sorted out and find a stable spot to rest
your camera on. Also, to a limited extent, you don't have to worry
about the shots coming out too dark. Post-processing using programs
like PhotoShop can make up for a couple of F-stops.