Ireland went through a brief microbrew surge a decade or so ago,,,followed by a collapse, leaving few options.
I use this site as a starter... http://www.europeanbeerguide.net/irlbrew.htm more detailed searches will turn up any options.
That said, there are a couple in County Cork, though Kinsale Brewing is no longer around, and in Dublin there are a couple brewpubs plus Porterhouse Brewing, known maybe best for their Oyster Stout, a style of beer, but they do it with real oysters.
Don't overlook Guinness, do the tour, not really a live factory tour, but an "experience", and their Gravity Bar is as good a place to have a pint as any.