Icehouse - their debut album is a classic!
Shona Laing - South
I own many LP's or cd's of lesser-known Canadian bands like Chalk Circle, Bundock, The Box, 8 Seconds and Gowan, among others. All had some really good music from the '80's that you never heard or saw on MTV or US radio, for that matter.
Howard Jones
The Hooters - Nervous Night is a great album.
The Plimsouls had some great songs too.
Tony Carey's Planet P Project - Pink World is another one of my favorite albums. Depressing-as-hell cold war nuclear armageddon theme but one of the best concept albums from the '80's in my opinion and awesome fidelity. I own both the original gatefold LP and the German import CD.
Crowded House - not really a synth rock band but great music!