I've been debating whether this thread belongs in the "Classical, Medieval, Renaissance" forum or the "Celtic, European Folk" forum. In the end I decided that Playford comes under "Renaissance" and owes more to early music than to folk forms.
A few weeks ago, I bought a wonderful book containing every single tune published in any of the 17 editions of Playford's Dancing Master between 1651 and 1728 -- edited by Jeremy Barlow (who recorded many great albums with the Broadside Band, including several CD of Playford tunes) and published in 1985 by Faber Music. I got my copy on Amazon UK for a very good GBP10.50 (about $16) including shipping (Link), and I'm very pleased with it.
There's a total of 535 different tunes in the book, all in the original key and with full annotations giving all of the changes and alternative version between the 17 editions and additional editorial performance suggestions. What I find particularly liberating is that there is no editorial process: every tune is here, so unlike most editions of Playford dances, nobody has picked any tunes that are particularly popular or canonical -- I find that most CD or renaissance tune collections just have the same ones over and over again.
I've been sitting down and just playing tunes at random. As nobody has any idea how these were played originally, I have just been playing them at whatever speed and whatever phrasing I thought felt right. Those that I liked and could make rhythmic sense of I have recorded on my Mid-Missouri and uploaded on Youtube. Some of these are well-known, but many are completely obscure and I've never heard them performed by anybody else. I particularly enjoyed "Never Love Thee More" from the 7th edition (1686) -- it works great as a slow air.
Here are the ones I've had a go at so far:
The Cobbler's Jig
Thomas You Cannot
Pall-Mall or Pell-Mell
Greensleeves And Pudding Pies
Prince Rupert's March
Sedany or Dargason
Never Love Thee More
Mr Lane's Maggot or Richmond Ball
The Glory Of The West
The Duke Of Luxemburgh's March
An Italian Rant
Drive The Cold Winter Away