Star wars, since I usually only watch the originals in their original theatrical version, and that's what it was called originally, but ANH on the fandom.
I don't remember anyone actually calling it ANH when I was young. It was always Star Wars, Empire, and Jedi, that's how people differentiated between them.
I’ve always known it as ANH and it also makes more sense to me. „Star Wars“ is better suited for the name of an entire franchise due to it sounding so general rather than the name of a specific movie whereas it‘s the opposite for „A New Hope“