Some of the numerous other groups with the same name, with or without "The":
Rhythm Rockers [house remix credit]
Rhythm Rockers [Sun, 1956, Buddy Durham]
Rhythm Rockers [country, RCA Victor, 1950s, Chet Atkins]
Rhythm Rockers ["Oh! Oh! Honey"/"Madness"]
Rhythm Rockers [R&R, surf]
Rhythm Rockers ["Three strikes"/"Surf around" on Fenton]
Rhythm Rockers ["Maggi" on a compilation]
Rhythm Rockers [Wade Curtiss and ... = The Rhythm Rockers (4)]

The Rhythm Rockers [labels Rhythm Records (6) + Circle D Records (2)]
The Rhythm Rockers [R&R, 1961, Gaity, "Crisis"/"Twang"
[The Rhythm Rockers ["Johnny & Bob" with ... "We belong together"/"Oh Boy"]
The Rhythm Rockers ["Thinking 'Bout You"/"Evening star"]
The Rhythm Rockers ["Teenager's Party" + "Rock 'N' Roll Boogie" + "Just Rockin']
The Rhythm Rockers [with Johnny Heartsman, Music City, 1957]
[a=The Rhythm Rockers (10)] ["The Cave"/"Bugs", 1966]
[a=The Rhythm Rockers (11)] ["My Heart Is A Fireplace / Motivatin'"]
[a=The Rhythm Rockers (12)] ["Hootchy Cootchy"]
[a=The Rhythm Rockers (13)] ["Allen Segura With Shorty Fitch and ...", 1959, "My Suzie Q"]
[a=The Rhythm Rockers (14)] ["Slow & poky"]

The Rythm Rockers ["Giving Everything Away"]
Rythmn Rockers [reggae]
The Rythm Rockers [Tommy Louis & ...]