Though technically speaking all of the following recipes don't necessarily originate from Ireland, it's pretty sure that they are indeed very popular with Irish people. Fair to say that you have many of them here at hand in the one place, so you don't have to go searching too far.
Traditional Irish Coffee - a classic!
Christmas cake recipe
How to put the icing on a Christmas cake
Christmas pudding recipe
Coffee cake recipe

​Coffee and walnut pudding, a variation of the above.
https://meadowbrownbakery.com/baked-coffee-and-walnut-pudding/
Rhubarb crumble recipe​
Apple crumble recipe
Gur cake recipe
Bread and butter pudding
TRADITIONAL IRISH APPLE TART
Irish tipsy cake
Dublin coddle recipe
Colcannon recipe
TRADITIONAL IRISH SODA BREAD RECIPE
Traditional Irish stew
Full Irish breakfast
Irish scones
Bacon and cabbage 
Irish Shepherd's Pie
Boxty (box what) - what the hell is that? Fish and chips in a box maybe.
Bangers and mash
Fish and chips. Maybe it would be better if you just went to your local chipper, if there is one nearby.
Irish Seafood Chowder
Champ - as in we are the champions...
Irish fish pie - delicious and hearty!
Traditional Irish Brown Bread
TRADITIONAL IRISH BARMBRACK RECIPE
Corned Beef and Cabbage
Bannoffee