- 1964-65 beaten by Shamrock Rovers in the FAI Cup Final
- 1965-66 beaten by Shamrock Rovers in the FAI Cup Final
- 1966-67 won the Dublin City Cup
- 1968-69 qualified for the semi-finals of the FAI Cup. After a marathon four games they lost out to Cork Celtic
The 1967-68 season saw the arrival of Andy McAvoy. He had been an Irish international player and in his time he had been the leading goal scorer for Blackburn Rovers. By the end of the 1960s Limerick had three Irish international players in their squad: Al Finucane, Kevin Fitzpatrick and Andy Mc Evoy.
At the start of the 1969-70 season Limerick Leader headlines read, ‘Financial problems ahead for Limerick’. It was reported that the players had refused to sign contracts because they were not happy with the basic wage of £7. Limerick’s FAI Cup performance saw them beaten by Waterford in the second round after a replay and finishing fourth in the league but as the season was drawing to an end they won the Dublin City Cup beating Waterford 3-2 on 1 May 1970. They won it the hard way having to also beaten Dundalk, Shamrock Rovers, Cork Hibernians, and Waterford.