I didn't initially think of this as old, but it debuted almost 25 years ago: Coach with Craig T. Nelson. They maybe changed writers and/or ran out of ideas towards the end, but I enjoyed the earlier episodes.
The Cosby Show was also funny, but I've always liked Bill Cosby.
Mr. Cosby also hosted a show I LOVED as a tyke: Picture Pages!
It seemed like Married With Children was on longer than Gunsmoke, debuting in '87. Again, the earlier episodes seemed to be the best. By about the mid-90's, I lost interest.
I also loved The Joy of Painting. My Mom would put that on for me after Sesame Street, and watching Bob Ross guaranteed afternoon nap time!
And, who can forget The Muppet Show? What other puppet show made it to TV and featured guests like Bernadette Peters, Peter Sellers, Dudley Moore, and Sylvester Stallone?