Do they have any TV shows where white parents beat their kids?

I'm thinking there were a couple of them were they may have threatened to just like James did with his.

On The Simpsons, Homer is often shown strangling Bart...

If you mean the physical act, none that I know of. But it was implied in the following TV shows:

- In the pilot episode of "The Wonder Years" (set in 1968, so close enough), Kevin Arnold was about to get a beating from his father, until Kevin's sister tearfully approached them with bad news: their neighbor Winnie Cooper's brother, Brian, was killed in Vietnam.
- "Growing Pains": Ben Seaver called a phone sex hotline and then lied to his father about last month's $216 phone bill by putting the blame on a neighborhood kid for giving out the number. The kid attempted, but failed, to sit on the Seavers' living room couch, thanks to the consequences his butt suffered from his dad after Ben lied.
- "Married With Children": Too many to recall, mostly with Al Bundy's baseball bat.

Beating and Spanking are two entirely different concepts.

Probably not. White parents were the first to be conditioned to allow the state to raise their children for them.

Now we have dialectal,behavioural therapy.

I think I recall an episode of The Brady Bunch when Mike spanked his son Peter over some silly issue he did at school

On the Andy Griffith show the episode where Everett Sloane plays a farmer with an illegal still and Opie is the “keeper of the flame” in his club Andy tells Opie that Andy’s father “explained to him” about playing with fire.