My parents never subscribed to TV Guide, so it was never an issue in our house. I was pretty big into The Simpsons at an early age, had a couple Bart toys and keychains that they and my grandparents bought me, but as far as I know they never had any issue with me watching it(they even watched the show for a brief while, but according to them they stopped once they saw Laura Powers spit into Bart's hand and his subsequent refusal to wash his hand).
Besides, I sat there and watched all the reruns of Dukes of Hazzard, Hunter, CHiPs, In the Heat of the Night, etc. on TNT with my dad which often times had scenes of people shooting at each other and whatnot, not to mention watching primetime shows like Roseanne, Seinfeld, or Friends with my parents that made frequent risque jokes, so I don't think they were really worried about what cartoons I was watching. They never even made any objection to me watching South Park when I started in on it in fourth grade(about 1998), although for whatever reason they objected to my brother watching it for a while.