If you’re looking for cozy I’ve heard decent things about Ballykissangel?
My Hero isn’t actually Irish, but it does star Ardal O’Hanlon (Father Dougal) for almost its entire run, so it may scratch the itch.
When I read your post and thought “Do we have any other good Irish sitcoms outside of Father Ted and Derry Girls?”, I done some research and found this Irish Independent article listing their top 12 Irish sitcoms, and I’m now laughing away at how the article itself basically shite-talks the first 6 or so shows that they chose! 🤣
As a footnote, I really need to watch “Moone Boy” some year.
Have you ever considered Father Ted?