I guess i'm just getting old. There was a time when a DC cartoon was appropriate for children. Those days are long gone now.
No, there are DC-based cartoons from Warner Bros. directed at various age groups. TV shows on Cartoon Network tend to be aimed at younger viewers; Teen Titans Go!
and Beware the Batman
are both TV-PG, although TTG is aimed at a considerably younger crowd. But the DVD movies are deliberately aimed at an older demographic than the TV shows. The point is that the PG-13 rating on the DVDs gives the producers freedom from the restrictions they have to work within on commercial TV and be a little more adult.