January - Influenza epidemic.
June 25 - Ben and Samuel Burton's Dublin bank failure.
July 2 - Completion of Dr Steevens' Hospital in Dublin.
October 24 - Incorporated Society in Dublin for Promoting English Protestant Schools is established to open Irish Charter Schools.
Samuel Madden publishes Memoirs of the Twentieth Century.
June 11 - Peter Russell, gambler, government official, politician and judge in Upper Canada (d. 1808)
August 1 - Richard Kirwan, scientist (d. 1812)
Patrick (or William) "Staker" Wallace, a leader of the United Irishmen (d. 1798)
February - Séamas Dall Mac Cuarta, poet (b. c.1647?)
December 7 - Edward Lovett Pearce, architect (b. 1699)
1733 in Ireland Wikipedia
Events from the year 1733 in Ireland.