Happy Irish songs tend to depress me, but I suppose there are lots of people who see it differently.

Scroll down on this, and there's as good a list as any that could make a medley. (Though they aren't all jolly either - I'm not the only one with that kind of preference!)

I know I've heard a song somewhere that was more what you're after, with the choruses knitted together by linking verses. But I can't put my finger on it.

I suppose it'd be worth putting a bit of effort into putting together something like that. But it's a bit late to try this for tomorrow.   

(Still I think there's a lot to be said for Chesterton's
words:

For the great Gaels of Ireland
Are the men that God made mad,
For all their wars are merry,
And all their songs are sad.)