And it was apparently good!
Published in 1986, Ghostbusters: A Frightfully Cheerful Roleplaying Game went on to win the H. G. Wells award for Best Roleplaying Rules of 1986.
It was a very simple rule set based around the idea that you just purchased a Ghostbusters franchise and are based in a city other than New York. Your character sheets are called Ghostbusters ID cards and can be found here. The game was revised and re-released in 1989 when it was renamed Ghostbusters International. It’s wobsite and scans of the rules can be found here and here.

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And in related news there is apparently an award for RPGs named after HG Wells.
I'm still more of a Vampire The Masquerade or Shadowrun guy.
Wait- that wasn't me.
AD&D 2ndEd. Forever!!!
The system had 4 traits: Brains, Muscle, Moves, and Cool.
I’d put all my moves into Cool. Then I’d be Venkman.
What’s that, Starla? Charisma of 18?
Also, Venkman also had many points in Moves… smooth-moves, that is!