Ok, Ceit, here you go...some good ones to learn:
Mna Na h-Eireann (The Women of Ireland)
The Silver Spear
The Atholl Highlanders
Song of the Kelpie
The Cliffs of Moher
The Kesh Jig
The Scattery Island Slide
Si Bheag, Si Mhor
Neil Gow's Farewell to Whiskey
The Beauty Spot

Check 'em out! They're loads of fun!

--Mbo