IrishGenealogy.ie, the family history website run by the Department of Arts, Heritage and the Gaeltacht, has uploaded a great bunch of records – just over 29,000 Roman Catholic church register entries and nearly 700 Church of Ireland. Some of these (the Cork ones) have been promised for a while, but they're now free for searching, each one with an accompanying image from the church register.
The registers concerned are:
Bandon: 17,667 RC baptisms and marriages
Iveleary: 11,411 RC baptisms and marriages
St Michaels, Dublin: 660 Church of Ireland records
Search here.
As to the long-awaited Monaghan records and the 'enhanced' civil registration records – I've asked – there's no update available just now.
UPDATE 11 May: The home page of the IrishGenealogy site has a problem. May not be resolved until Monday. In the meantime, be sure to use the link above, which takes you direct to the church records database.
UPDATE 12 May: All access points restored.