Another Irish folk enthusiast here.
For the OP: if you're interested in Irish folk (also known as "trad"), there's a trove of songs and dances (jigs, reels...) you can easily find on the web, although the quality varies, ranging from the exquisite and authentic to the very bad, just trying to cash in a popular genre.
Bear in mind, the genuine way to enjoy Irish folk is live, in a pub with locals.
I remember Irish folk music started to gain a lot of international (among non-Irish) interest in the 90's, at least here in continental Europe. My feeling is that the economic emergence of Ireland back then (the Celtic Tiger) contributed to that, with people becoming more interested in Ireland and even starting to travel more there, also in concomitance with the much welcome Good Friday Agreement (before that, Ireland had only been reported in international news about Troubles-related violence). And of, course, the success of Riverdance in the early 90s. Which is worth mentioning is a modern show, borrowing some elements from Irish folk, but not really representative of genuine Irish trad.
In Ireland itself, there had already been a big revival in the 60s-70s... a lot of great contemporary performers and interpreters of Irish trad are from that era: the Dubliners, Mick Moloney, the Johnstones, the Clancy Brothers, Sweeney's Men, the Fureys...
In the 90s, I got hold of a 4-CD collection that included many of these classics, including some rare recordings (such as Mick Moloney singing
An Gaoth Andheas in Gaelic) that I have never found included in other CDs or collections.
My very first introduction to Irish music was a cassette I got in the early 90s,
Trad at Heart, which features more contemporary arrangements and is probably an easier transition to Irish folk for people who are still not familiar with it or do not feel instantly drawn to the style of the folk singers and players from the 60s-70s.
Much to my delight, a few years ago I managed to acquire a CD version of it, the cassette not being playable any more. It's mostly instrumental music, with few exceptions such as
DĂłnal Agus MĂłrag performed by Altan.
For purely instrumental, dance music, I would recommend another exquisite collection from the 90s,
Dance of the Celts.