For a major European city Maastricht is as peaceful as a large UK village or small town.
The main square is brick paved with no car traffic. The square is pretty big and you need to keep your eyes open for lunatic mopeds - this is due to cycles and mopeds using paths that look like footpaths that cross all over the square...they are brick paved just like the actual square, so it's hard to tell what's square and what's road!
I say the driving is mad, but if you live here I guess it is just normal...and the UK would appear to have mad traffic!