OK, so I'm cheating a bit now; I did a google search.

The Adventures of Ozzie and Harriet
Twilight Zone
Leave it to Beaver
The Lone Ranger

The Avengers
Flipper (and we call ourselves Pet Talk!)
Gomer Pyle
Hogan's Heroes

The Real McCoys (I love the way Walter Brennan walked!)
Dennis the Menace
Alfred Hitchcock Presents

Dr. Kildaire (be still my heart!)

I didn't take them all, there's lots more out there!

http://www.entertainmentscene.com/top_tv_shows_60s.html