Right. Well, as to what you referenced, I would say you're into the neo-rockabilly sound.
I'd begin with all the "cat" bands...
Polecats
Blue Cats
Rockats
As is the case with a lot of neo-rockabilly bands, the older stuff is usually better; this is because as the scene moved from late 70s to middle 80s, new wave became pretty big and a lot of the bands were influenced by it; not a bad thing, per se, but it does lose a lot of its "billy" roots. (especially get Rockats with the early, Levi Dexter-era line up. Eventually, band members came and went, and while the band continues on, the operation is now based in New York instead of England and features no original members)
The Neo-rockabilly/teddy boy scene was very much british in the 80s. With this in mind, a lot of the best stuff came from there; the aforementioned bands, plus other stuff like the Ricochets, The Deltas, The Sharks (early stuff - the newer stuff was pretty good too, but crept towards psychobilly), Rattlers, Shakin' Pyramids, Caravans and DEFINITELY some Restless (who are playing their last ever show in Vegas in March or April) and Matchbox.
Other bands, more in the modern age you may like are Germany's Rockabilly Mafia (a lot of their songs are in German though, that might not be your cuppa), 69Beavershot who in some ways come the closest nowadays to the Stray Cats/Rev. Horton sound you're into, The Howlin' Moondoggies, The Space Cadets, Red Hot'n Blue, and Japan's Starlite Wranglers.
Unfortunately, I have a class now; later, I can delve into 50s rockabilly/western swing/etc and then eventually into psychobilly.