This would be 16th and 17th centuries, right?
A couple of Lopes (although I can’t remember any more which ones I’ve read, which ones I’ve seen live and which ones on TV; I like Lope’s works), La Celestina (which got me completely lost by the second paragraph) and La vida es sueño (which I didn’t like).
Also, when I was in High School it was customary for the 12th graders to organize a play with no teacher intervention: often it was a series of sketches, with each sketch offered by students from a different class and section. When I was in 10th, the subject was “short comedies or standup” and all of the 12th grader’s sketches were adaptations of Cervantes short stories (there was very little to adapt, they didn’t bother rewrite the stories as plays but simply play them out). Several of the other courses had recitations of comic poems from Quevedo or fragments from Lope.
I haven’t seen anything British from that period live - and given the language difficulties I know I’d have, I’ll probably refrain.