Huh. I'm actually in a not-very-musical stage at the moment, which is a bit unusual- I think I need to take my flute to the shop, as it's not making the funny noises I intend. The songs that I've been listening to most recently though, are nearly all Celtic or Celtic-flavored folk.
The Roving Dies Hard by Brian MacNeill
Muir and the Master Builder (song by Brian MacNeill, but my favorite version is by Scottish singer Ed Miller)
I'm a Man You Don't Meet Every Day (Trad, I think)
Si Beag, Si Mohr (O Carolan)
St. Anne's Reel (Trad)
George Brabazon (O Carolan)
Rocky Road to Dublin (Trad)
And I'm not much for tagging other people- feel free to jump in and play at will.