People who wish to introduce medieval dancing into the SCA have a real problem – almost all of our documentation for dances done in the medieval period actually come from late in the Renaissance. Some people who want to dance often use other styles as inspiration, in particular in English country dancing. Once you get past the anachronism here, there's a lot of fun to be had doing known country dances or choreographing new ones.
One member of the SCA, known in it as James Blackcloak has created several new country dance inspired choreographies. Some of them are on YouTube. For your enjoyment, I direct you to this one, entitled St. Paul's Cathedral: