I started listening to the group “Status Quo” and can not believe how much I like them. All I remember them for is “Pictures of matchstick men”.
I keep getting their CD’s and really like them. I think they really play good old rock and roll.
Are there any other groups that I should give a try. I like them and George Thorogood . what else should I be listening to.
I hear good things about Led Zeppelin.
I’m not familiar with Status Quo myself, but Wikipedia suggests that you may be looking for “boogie rock” (and lists some other examples of the genre).
I only know 2 songs by the Status Quo, “Caroline” and “Rockin’ Around the World,” and they’re both fun.
Groups that they sort of remind me of include Grand Funk Railroad, Bachman-Turner Overdrive, and Brownsville Station.
Oh, man. I love me some BTO. Let it Roll Down the Highway.
Aerosmith’s first four albums are amazing. Mama Kin is such a damn good song.
She wears denim wherever she goes
Says she’s gonna get some records by the Status Quo
Oh yeah…Oh yeah…*
“The Concept”-Teenage Fanclub 
How about Little Feat and The Radiators?
Ah well, you’re in the army now.
And if you like Lonesome George, you’ll also likethe Nighthawks. Underrated (IMHO) blues-rock band also out of Delaware.
I’ll suggest Thin Lizzy as another hard rock band of the same vintage. Utterly different style but still classic twin guitar 70s rock.
Quo were typically snubbed by fans of more “sophisticated” bands. I had friends who worshipped Zeppelin, Sabbath and Deep Purple but had no time for the Quo. But. One guy I learned guitar with was a massive Quo fan, so despite the snobbery from other people I got to learn rhythm guitar playing Big Fat Mama, Down Down etc. so that Stu’ could solo over them.
Try out Nazareth
If by “good old rock and roll” you mean retro stuff, try the Blasters (“Marie Marie”, “Border Radio”), or Big Sandy and his Fly-Rite Boys, or Anson Funderburgh and the Rockets, or Stray Cats.