Johnny Burnette Trio, Johnny Cash (Live at Folsom, San Quentin, etc.), Jerry Lee Lewis, those are more early developers of the genre. I love early Buck Owens, (Rhythm and Booze is a totally overlooked track).
Then there's the revival with The Stray Cats and The Blasters, which rolled into punk styled psychobilly like Tiger Army, Reverend Horton Heat, SCOTS, The Blacks, Waco Brothers.
Guys still doing it today are JD McPherson, Jimmy Sutton's Four Charms, Corb Lund, Junior Brown.
Number one on my list is Wayne Hancock, might be too country for some but that is some Real Good Rockabilly. Swing Town (live) is a great album.
Hopefully that gives you an example of the range of the genre, find the niche that floats your boat and go from there.