well i watched them as child and i didn't find them harmful at all you don't see any blood in it as i remember and that's why i said as a good parent show them which they want to see or just don't show the one that you find to harmful experiences like you said.
and i think a child rather want to watch a movie of his generation instead of the parents one or atleast me if would be bored than if i needed to see old stuff when we have better technology.