For a next time, what about "les poules huppées" ?
It's certainly a tune that can be played in many different ways. Originally a bourrée, it is also often played as a mazurka. It's actually on the "anglo international" in this style. (i don't find the sleeves but i think it was by Bob Davenport). I've also heard it played very slowly by Irish musicians.
I have put a recording sometime ago on my "old" myspace (see my signature)
"Crested Hens" is by Giles Chabanait (sp??) He wrote it when he was 16. Great tune and very flexible.
If you are looking at slow airs what about Hector the Hero, or Evlin Rose, or Eleanor of Usen, or Gow on Death of Second Wife or .... There are lots of lovely ones.
BarnDance: The Dances at Kinvara
Jig: The Woods of Old Limerick or Random (or Random Jig or Random Notes depending on who you talk to).
Waltz: Starry Night in Shetland or Svensk Annas Waltz or Halsa Dem Darhemma (sp?) or Maizeit (sometimes called Iver Berentsen's), or Mättsakukkia
Branles: The Horse Branle or The Rat Branle
Then there's Civil War stuff, Stephen Foster, Gay Nineties, 20s pop stuff (need to avoid copyrighted things I suppose or I'd suggest Stardust or September Song)
Happy to post abc and comments about any of these (except the copyrighted ones) if asked.