Here are some of the tunes we like to play:

Celtic
Slow tunes and airs such as Londonderry Air (Danny Boy), Carrickfergus, Star of County Down.
A variety of dance music, such as Rights of Man, O'Donnell's Hornpipe, Soldier's Joy, Boys of Bluehill.

International
Metsakukkia (Finland), La Vie En Rose (France), La Paloma (Cuba).

Contemporary/Romantic
Theme from Titanic (My Heart Will Go On), Singing in the Rain, Over the Rainbow, As Time Goes By, and many more!

Christmas
Many old favorites, such as Joy to the World, Deck the Halls. Many new favorites, such as Jingle Bell Rock.
Also, some Celtic and Renaissance holiday tunes that you may not have heard!