Let's not exhaust this space to quibble over whether the mere existence and propagation of a Rock and Roll Hall of Fame is warranted or not. And we shall similarly pay minimal heed to the immutable truth that Paul Simon is in said Rock Hall not once but twice (as a solo performer and as half of Simon and Garfunkel), which to some may indicate he's been inducted either one too many times or two too many times. All that concerns this author is that as long as they let Rhymin' Simon in, those doors should open even wider to accommodate his late-'50s/early-'60s rockin' incarnations Jerry Landis, True Taylor, and Tico and the Triumphs.
It may be difficult to reconcile that the very same person who composed "A Simple Desultory Philippic" could also give birth to "Get Up and Do the Wobble," but one doesn't require a postage stamp contest à la Elvis to determine which manifestation of the singer and songwriter in question the typical Ichiban reader and listener would favor. So now that your preference has been duly presupposed, please enjoy this guaranteed Garfunkel-free trio of top teen tunes from the days when Paul Simon resided on the greaseball side of Music Town (all songs YouTube).
True Taylor — "True or False" (Big, 1958)
Here Paul yelps a rockabilly bopper that alternately could have been titled "Blue Moon of Kew Gardens."
Tico and the Triumphs — "Motorcycle" (Amy, 1961, Billboard No. 99)
Simon's sonata for the 'Sicle Set puts the "J.D." in early Jan and Dean.
Jerry Landis — "The Lone Teen Ranger" (Amy, 1962, Billboard No. 97)
His "Western Movies"-referencing dum-dum doo-wop ditty exposes a different kind of Olympics doping.