Not necessarily specific to the mandolin but some of my favorites to play on it:

Lark in the Morning
The Bonawae Highlanders
Carolan's Favorite/ Leslie's March
The Banshee/ Spootiskerry
Robertson's Reel/ A Boy's Lament for his Dragon
Montreal Reel
La Grand Chaine/ Old French Reel
La Bastringue/Pays da Haut
A Maiden's Prayer
Stay all Night
Chinquapin Hunting
A Daisy for Gilda/ Murray River
Whiskey 'fore Breakfast/ St. Anne's Reel
Castle Kelly/ Within a Mile of Dublin
Bluegrass Stomp
Crested Hens/ Far Away
Tommy Coen's / Reel of Rio
Barney Pilgrim/ Banish Misfortune
Liza Jane
Hamnataing/ Willaford
Salmon Tails Over the Water
The Carraroe/ Out on the Ocean
Cock o' the North/ Muckin' o' Geordie' Byre

My finger's getting tired. You can get the dots for most these at thesession.org.