Animation Age Ghetto: On the one hand, it's a Lighter and Softer version of Conan. On the other hand, as listed below, episodes featured concepts that many other contemporary cartoons wouldn't or couldn't touch. Also, the series features a numbers of references to the original stories that kids likely wouldn't get.
Fridge Brilliance: The reason why Conan is an Adaptational Nice Guy in this version? His change in backstory. Most versions had Conan's family die at a young age, but here they are alive and well. Plus the environment He grew up in was far more peaceful than the harsh, barbaric environment other versions were born into.
Serpentman champion: Conan! I challenge you and your companions to mortal combat!
Memetic Badass: Evillak, a minor villain from one of the episodes, has been propped up to a memetic status by the Two Best Friends Play fanbase, who often use him as an Interrupting Meme using his phrase "Now you must still survive Evillak!".
Narm: A serpentman mage conjures flying scorpions that throw poison. Pretty scary, until you notice they have goofy cartoony eyes that remove any perceptible threat they might possess.
"In Days of Old" has an old wizard kidnapping Jezmine in the exactly right amount of lecherous as to fly over children's heads, and disturb them when they rewatch as adults.
Live-Action Series
Catharsis Factor: Hissah Zul's beheading. The showrunners seemed to be going for this, since it's the most violent death in the series, and the only decapitation in which we actually see the head go flying off.
Complete Monster: Hissah Zul is a Sorcerous Overlord who conquered most of the known lands in a bloody campaign that claimed the lives of Conan's parents, among countless others. Those who Zul does not enslave or wipe out are made to pay him heavy tributes, and live in fear of him as a God-like being who decides "when we live, and when we die". Upon learning that Conan is destined to slay him, Zul gives his soldiers free reign to raze towns in search of him, which results in the death of Conan's love, Tamira. Zul goes on to have an Amazon who is pregnant with Conan's child assassinated, and engenders hatred of the barbarian among the people by having mercenaries massacre villages with the aid of evil knockoffs of Conan. Not even Zul's own kin and men are safe from his cruelty; he blinded his own brother before murdering him and trapping his soul in a swamp; expresses no regret after discovering that a subordinate that he had poisoned was his own illegitimate son; and executes his own servants at the slightest provocation, at one point snarling "Who cares about that?" when it is pointed out that one of his strategies could result in the deaths of many of them. Through it all, Zul repeatedly expresses jealousy over Conan's successes and triumphs, seeing himself as a great man who should be divinely ordained to possess all that the world has to offer.
Narm: Hissah Zul's head twitches and shakes almost constantly in the two-part premiere. He's a lot less Parkinsons-y in the subsequent episodes, though.
Special Effects Failure: As to be expected, the CGI has not aged gracefully, so there's loads of cheesy monsters, bad green screens, and low resolution figures milling about in distant exterior shots of buildings like the tavern in "Red Sonja."
Seriously, at least fifteen years since watching a single episode, and it can still pop into your head.