Very hard to keep this down to 10 on either list. For me its stuff I first heard up to about 18 and things I've heard since. I'm not a parent yet. Today's list is :

Older Stuff

Sultans of Swing                 Dire Straits
Bullfrog Blues                        Rory Gallagher
Bohemian Rhapsody                 Queen
Arthur Mc Bride & The Seargent         Paul Brady
Deportee                        Woody Guthrie
Joe Hill                        Luke Kelly
Stairway to Heaven                  Led Zeppelin
Freebird                        Lynyrd Skynyrd
The Band Played Waltzing Matilda Liam Clancy
The Cliffs of Dooneen                 Planxty

More recent

Weather with You               Crowded House
Trouble in the Field               Maura O Connell
Annan Waters                        Nic Jones
Desparados Waiting for a Train         Guy Clarke
Racing in the Streets                Bruce Springsteen
Sam Stone                        John Prine
Once I Loved                        Mick Flynn
Bee's Wing                        Richard Thompson
Port of Call                         Kieran Halpin
The tinkerman's daughter        Niamh Parsons