Also "Godzilla" and "Burnin' for You." These are the band's 3 biggest songs for a reason.
It might be easier to list the number of songs that don't fit the trope.
Face of the Band: Unfortunately for them, the only "member" that people seem to recognize is a fictional cowbell player.
As for the people who know the real members of the band, Eric and "Buck" fill this role. Partially explained by the fact that they're the only two founding members who are still in the band.
And also are the two primary lead singers. It should be noted that the "fictional cowbell player" really looks like Eric Bloom, and Chris Kattan's sketch character resembles Buck Dharma.
In Great Britain, the band might well have been hampered by the existence of folk singer and comedian Mike Harding, who affected a big bushy curly perm, a beard, and glasses, and who played assorted string instruments, including banjos and ukeleles. At the time "Don't Fear The Reaper" was in the British charts, this Eric Bloom comedy lookalike charted with a song called "Rochdale Cowboy". Which does make it hard to view anyone who looks like that as a Guitar Hero.
"Joan Crawford" depicts a New York City in rioting chaos, as Joan Crawford's zombified corpse claws its way out of the Earth to get its final revenge against Christina. "Christiinaaaaaaaaaaaa!...Mommy's hommmmmeeeee."
Tear Jerker: "Live For Me", a ballad about what happens to telepathic twin brothers when one of them ends up in a fatal car accident.
Might also be In Thee off the Mirrors album, in which Allen Lanier draws a final line under his long-term lover Patti Smith throwing him over for Fred "Sonic" Smith. Maybe she just wanted to keep the paperwork simple after getting married.