One of the things I loved about ELIZABETH R and THE SIX WIVES OF HENRY VIII was the music played at parties and gatherings. I guess it's Renaissance music rather than medieval, but I found it very soothing. I'm sure that music is available on many CDs, but I wouldn't even know what I was looking for.
DRMattH, may I offer you some suggestions on this period of music and its recordings? It appears that all of the great New York Pro Musica Antiqua recordings on Decca are not on CD. I had their wonderful recording of band music from the Renaissance. I looked at Amazon.com, and found a few you might like:
HENRY VIII & HIS SIX WIVES, Testament B00026ZKRQ, David Munrow, and the Early Music Consort of London. This may have actually been the source for all music in the BBC series; David Munrow's death in the late 70s killed this great group.
ENGLISH RENAISSANCE MUSIC, Sony 45792.
DANCES OF THE RENAISSANCE, Deutsche Gramopjon 469244.
ENGLISH MUSIC FROM HENRY VIII TO CHARLES II, Hyperion 66895.
SHAKESPEARE'S MUSICK. Musicians of the Globe (Theatre), Philips 446687. These guys play for Mark Rylance's Globe production and they are amazing. I have a couple of their recordings.
THE FITZWILLIAM VIRGINAL BOOK, Signum UK #9. This is all keyboard music.
I hope this helps. I'd recommend the Munrow HENRY VIII and the SHAKESPEARE'S MUSICK.