D&D and the LOTR animations from Baski and Rankin/Bass kicked off a spate of fantasy movies which Conan probably really kicked into gear. At the same time Beastmaster goes from a sci-fi setting to a fantasy one for example. And on the flip side Conan was at one point suggested to be scripted as a sci-fi setting due to SW.
Hilariously Carters Conan Rip off Thongor would have been a movie 2 years before Conan came out had it not fallen apart during pre-production.
There were actually quite a few fantasy movies all at once in 82. Conan, Beast Master, Sword and the Sorcerer, Ator, Flight of Dragons and more. Some of the best from around that point. Before that though there was Hawk the Slayer, Archer Fugitive of an Empire, Excalibur, Dragonslayer, and Faeries all around 81. And at least a dozen more of lower quality in 83 alone.