There are many wonderful Irish genealogy websites out there to use for your Irish genealogy research. I came across quite a few that were very useful, while working with a particular client whose great grandparents came from Ireland.
The website that I seemed to use the most while working on his case, was IrishGenealogy.ie. This was a fantastic website to get civil records and church records from. I was able to find many of the civil registration birth records that I needed, along with marriages and deaths.