The aim of the remainder of the Crusades in the 13th century was to combat anyone considered an enemy of the Christians.
The goal of Albigensian Crusade(1208-1229), was to eliminate the Cathars sect in southern France. Another Crusade, The Baltic(1211-1225), had the same objective but with the pagans in Transylvania.
In 1216 the Crusades attacked Egypt but were defeated by the Muslims in 1221. The Muslims were commanded by Al-Malik al Kamil.