I already know about the castellamarese war but I want to know did they have a war. The Bonannos had war, the patriarca crime family had war, the gambinos had something like a war between the white collar faction and the blue collar faction, etc and so fourth.

The Luciano Family has had a number of inter-family skirmishes, but no "wars" per se.

The classic one was between Costello and Genovese.

you forgot to mention the Profaci-Gallo war too.