I've been trained and have practiced with the Society of American Fight Directors under a few different styles (rapier and dagger, broadsword, quarterstaff) and hold a beginners certification with Dueling Arts International for Broadsword.
I have also assisted at a few local workshops around my area of the state, usually with single sword/single rapier and a few times with broadsword but told through a lightsaber
EDIT: I should note that the styles that SAFD and DAI teach are not historically accurate martial arts, but are strict and controlled forms of movement that are designed to keep both actors safe at all times, even if something goes wrong. Personally I find it more fun than actually gearing up to go at one another, be it Kendo, HEMA, sport fencing etc. simply because it's not a race or a fight but a performance that elevates the tension of the scene. If anything it has more in common with a well choreographed dance routine than it does with a martial art.