@msolga,
At the time I thought new wave was particularly distinctive in that it didn't conform to conventional lyrical themes or forms, and that the music had a certain 'angular' flavour that made it decidedly not 'contemporary pop/rock'.
Basically the sort of stuff you heard on Double J in the late 70s. B-52s, XTC, Talking Heads,OMD, The Cure. It seemed at the time that punk had suicide-bombed the rock dinosaurs, and only weird mutants were coming out to fill the new evolutionary niches created by the death of corporate rock and soulless disco.
Of course eventually it turned out that 'we have so much variety we have none' to quote myself.