Derry Girls is the first one that comes to mind. It gets heavy once or twice but is generally pretty cozy.

Have you ever considered Father Ted?

I liked "Moone boy" With Chris O'Dowd

Black Books.

Father ted

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.

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.

London Irish

The mammy. It grates after a while, but it is funny. Most of the cast are all from the same family, often playing parts that don’t match their real life relationship.