Already mentioned most of my favourites.
My Lagan Love
Dark Island
Rhoisan Dhu
Boulavogue
The May Morning Dew
Greensleeves
All the variants of Dives and Lazarus
Margaret's Waltz
O Carolan's Concerto
Golden Eagle hornpipe
Belfast Hornpipe
Miss McCleod's Reel
St Anne's Reel
The Tinkerman's Daughter/Plains of Waterloo
Derry Down
Cecilia Costello's Grey Cock
Lady Franklin's Lament

Some I forget their names.