The Beatles were inducted into the Rock and Roll Hall of Fame in 1988, the same year as Bob Dylan.
The Beatles—John Lennon, Paul McCartney, George Harrison and Ringo Starr—were honored as performers during the Hall’s third induction ceremony. Their induction recognized the extraordinary influence of their songwriting, recordings, studio experimentation and cultural impact.
The 1988 class also included The Beach Boys, The Drifters and The Supremes. That makes The Beach Boys a likely mix-up: they were inducted in the same class, but they were not the band referenced by this question’s intended answer. The Rolling Stones entered the Hall in 1989, while The Who were inducted in 1990.
Bob Dylan’s induction recognized his transformation of popular songwriting and rock performance. The Beatles and Dylan also had an important artistic connection: their music influenced one another during the 1960s, helping push rock toward more ambitious writing and recording.