Most of the violence was pretty mild, about at a "Superfriends"-like level, but it did escalate somewhat at times. There was an episode that featured a bar brawl, in which actual blows were landed; another episode had Superman getting scratched by a magical creature, that actually cut him.
The most gruesome scene was in "The Hunter," in which a character was believed to have been killed by getting poisoned by a deadly substance. The character's skin became discolored due to the poisoning.
Terrorism was referenced in "Destroy the Defendroids."