Children can handle actual storytelling and drama. I did, and I didn't turn out that bad did I? (I would hope...) Kids are not stupid! I grew up on both TAS and the Fleischer Supermans. (BTW avoid that new "intended for collectors" WB set. It really isn't intended for collector's as the openings are screwed up and changes have been made throughout.) I also think that both of these series are essentially definitive versions of their respective characters.
And I have also realized that I haven't seen Superman all the way through either.
It's now added to my watchlist with the Donner cut of II.