This is an update to R.E.M. vs. Cheap Trick
The Elec Man theme from the video game Mega Man sounds freakishly similar to both of these. You should check it out.
Mega Man - "Elec Man Theme" (1987)
Journey - "Faithfully" (1983)
R.E.M. - "All the Right Friends" (1983)
Cheap Trick - "Way of the World" (1979)