When we were there in the early part of this century, we ate mostly in the Pubs that had 'carvery lunches'. They were great. (I was counting, and one place actually had five types of potatoes). The other notable place we ate was 'The Purty Kitchen' in Dun Laoghaire, just south of Dublin. Two other places that we liked were Sherkin Island in the South, and Powerscourt Gardens in County Wicklow.
Actually, we missed many castles and such (we did make it to one castle) because we were on a mission to see how actual Irish Pubs compared to the supposed Irish Pubs in the USA. Our intensive Pub study revealed that there were three types of Irish Pubs: the cave type (rare in Ireland, but Fados in the USA is that style); the fancy type with dark wood; and the local house type. Few of the Irish Pubs we visited had curtains in the windows (by contrast all of the London Pubs we visited had curtains. Also, none of the Irish Pubs we visited had a zillion nick-nacks like the ones in the USA have.