The Zombies were also nominated in 2014. They became eligible for induction in 1989.
Rock & Roll Hall of Fame bio:
"One of the consummate joys of the first wave of the British Invasion was the startling variety of sounds and styles that emerged month after month in that heady halcyon era. At one end of the scale were the raw, blues-drenched disciples of American blues and R&B (Rolling Stones, Animals, Yardbirds), and at the other end were the more studied, sophisticated, intricately arranged atmospherics of the Zombies. There was no other band whose sound filled space as gorgeously and completely as the Zombies: the jazz-inflected electric piano of Rod Argent, the choirboy vocals of him and his St. Albans schoolmates, bassist Chris White and lead singer Colin Blunstone. Other schoolmates, Paul Atkinson on guitar and vocals, and drummer Hugh Grundy rounded out the classic original lineup, which endeared itself overnight to the most loyal and dedicated army of fans to which any rock band can lay claim."