To go alongside the bibliographies of the Debates and Journals of the English, British and U.K. Houses of Parliament I have on this site, here are links to digitized versions of the Journals of the Lords and Commons of Ireland up to the Union of 1800.
The archives of the Irish Parliament went up in flames in 1922, during the Irish Civil War. Consequently, records of the debates are scanty. ‘The Parliamentary Register: or, History of the Proceedings and Debates of the House of Commons of Ireland’ covers 1781 to 1797 in 17 volumes. Digital copies can be found on Google Books, Hathi Trust, Internet Archive (digital scans of microfilms), Jstor, and best of all, the Virtual Treasury. This latter has also put the Cavendish Transcripts (covering the years 1776-1789) online, and has curated some of the debates.
Note: a listing of the various sets of the Statutes of the pre-Union Irish Parliament can be found at my Statutes Project.
Journals of the House of Commons of the Kingdom of Ireland
There were four series of the Irish Commons’ Journals, some of which seem to be continuations of previous series. Queen’s University Belfast has compiled bibliographic data for three of them, though that for the fourth series is incomplete, and I’m not convinced the rest is accurate (The second and third series seem to share volume 15 to 19; nevertheless I have followed their data.) Below are listed the digital copies I have found for various of the series, covering around 200 years of debates. Links are to Google Books where I have found them, Oireachtas PDFs, which can be quite sizeable, and Jstor.
First Series. (Published 1751-17631.)
1: 1613 – 1661: Oireachtas.
2: 1662 – 1702: Oireachtas.
3: 1703 – 1713: Oireachtas.
4: 1715 – 1723: Oireachtas.
5: 1723 – 1731: Oireachtas.
6: 1731 – 1739: Oireachtas.
7: 1739 – 1749: Oireachtas.
8: 1749 – 1751: Oireachtas. Jstor.
9: 1751 – 1755: Oireachtas.
10: 1757: Oireachtas.
11: 1759: Oireachtas.
Index to the first 11 volumes, 1613 – 1760: Google Books, Hathi Trust. Jstor.
Second Series. (Published 1763 – 1782.)
1 / Appendix: 1641 – 1647: Google Books. Oireachtas. Jstor.
4: 1715 – 1723: Google Books.
5: 1723 – 1731: Google Books.
6: 1731 – 1739: Google Books.
7: 1739 – 1749: Google Books. Jstor.
8: 1749 – 1751: Google Books; Oireachtas.
9: 1751 – 1755: Google Books; Oireachtas.
10: 1757: Oireachtas.
11: 1759: Oireachtas.
12: 1761: Google Books. Oireachtas.
13: 1763: Google Books. Oireachtas.
Third Series. (Published 1782 – 1795.)
1: 1613 – 1666: Oireachtas.
2: 1692 – 1713: Oireachtas.
3: 1715 – 1730: Oireachtas.
4: 1731 – 1748: Oireachtas.
5: 1749 – 1756: Oireachtas.
14: 1765 – 1771: Google Books. Oireachtas.
15: 1771 – 1772: Google Books.
16: 1773 – 1774: Google Books. Oireachtas.
17: 1774 – 1776: Google Books. Oireachtas.
18: 18 June 1776 – 14 August 1778: Google Books; Oireachtas. Jstor.
19: 12 October 1779 – 2 September 1780: Google Books; Oireachtas.
20: 9 October 1781 – 27 July 1782: Google Books.
21: 14 October 1783 – 14 May 1784: Google Books.
22: 20 January 1785 – 7 September 1785: Google Books.
23: 19 January 1786 – 8 May 1786: Google Books.
24: 18 January 1787 – 28 May 1787: Google Books.
Fourth Series. (Published 1796 -1802.)
7: 22 October 1761 – 12 May 1764: Oireachtas. Jstor.
9: 12 October 1773 – 14 August 1778: Oireachtas.
10: 12 October 1779 – 27 July 1782: Oireachtas.
11: 14 October 1783 – 7 September 1785: Oireachtas.
12: 19 January 1786 – 18 April 1788: Oireachtas.
13: 5 february 1789 – 1 April 1790: Oireachtas.
14: 2 July 1790 – 5 May 1791: Oireachtas. Jstor.
15: 19 January 1792 – 25 March 1794: Oireachtas.
16: 22 January 1795 – 5 June 1795: Oireachtas.
17: 13 October 1796 – 3 July 1797: Oireachtas.
Appendix: 1798: Oireachtas.
[Unnumbered?] 22 January 1799 – 1 June 1799: Oireachtas.
19: 15 January 1800 – 2 August 1800: Oireachtas.
General Index, 1613 – 1800: Volume 1. Volume 2.
Journals of the House of Lords of the Kingdom of Ireland
The collected journals of the Irish Lords takes up eight volumes; two different digitizations can be found on Oireachtas (links to PDFs), and, taken from microfiche, on the Internet Archive. Some of the Oireachtas volumes are available through Jstor.
1: 1634 – 1698, Oireachtas; Internet Archive.
2: 1703 – 1725, Oireachtas; Internet Archive.
3: 1727 – 1752, Oireachtas; Internet Archive; Jstor.
4: 1753 – 1776, Oireachtas; Internet Archive.
5: 1776 – 1786, Oireachtas; Internet Archive.
6: 1787 – 1791, Oireachtas; Internet Archive; Jstor.
7: 1792 – 1797, Oireachtas; Internet Archive; Jstor.
8: 1798 – 1800, Oireachtas; Internet Archive; Jstor.