Buddy Holly and the Crickets

Genres
rockabilly

Significance
part of the "Day the Music Died" immortalized by Don McLean's American Pie

Crickets was part of the inspiration for the name Beatles

Weezer performed a song called Buddy Holly

The Hollies were named after Buddy Holly

A major influence on Elvis Costello

Both Buddy Holly and the Crickets were inducted into the Hall of Fame, albeit seperately (the latter being inducted in a special committee).