Is it true that glass coffee tables are/were a nineties thing and they
are now going out of fashion? I'm trying to do up my flat in a
contemporary style, but somebody told me it is better to have a solid
wood or laquered table rather than a glass one.

Walk around IKEA, Habitat and a few other 'designer' stores - you will
immediately get the idea of what's 'in' or 'out'.

Dave