While certainly not for children, "The Family Guy" has a few funny moments. However, the ongoing story line of an infant repeatedly seeking to kill his mother is the most spectacularly unfunny thing unimaginable.
Other posters are mentioning Lucy, Carole Burnett, Tim Conway. I'll throw in Ozzie and Harriet, George and Gracie, Beaver, Father Knows Best, Danny Thomas, MTM, Dick Van Dyke, all hilarious and fit to babysit my kids, if you know what I mean.
Clean fun is the part of American culture that I miss.