I am doing research for a worldbuilding project, and I am working in a period analogous to the time between 1400 and 1850.
While there is a wealth of information about the latter parts of the Age of Sail, the time between about 1200 AD and 1600 AD has given me more difficulty.
Development of the Carrack from the Hulk from the Cog is faily easy to trace and fighting styles of these ships would have been fairly standard archers / boarding, Carracks began to mount canon.
I'm a little short on sources for how effective these were or what ranges they had and thus their influence on naval warfare.
Just by the way, the worldbuilding project is /r/Conglomera, and I am developing the Rahi Vasa Company, a non human spin on something like the East Empire Country obtaining statehood on a alternate planet.
The last official 'boarding action' with drawn cutlasses was - to my recollection - during the Norwegian Campaign of World War II in 1940. British sailors from a Royal Navy Destroyer boarded a German transport ship that was carrying British POW's and had been stranded in a fjord during a spring storm.
Besides that the old style boarding actions seem to have gone on at least until the age of steamships, starting around the 1830s. I'll be interested what source material can support these questions and claims!