Venetian Crusade. The Venetian Crusade (1122–1124), also known as the Crusade of Calixtus II. The Western participants from the Republic of Venice were regarded by Riley-Smith as First Crusaders, and the actions resulted in the capture of Tyre from the Damascene atabeg Toghtekin. This marked a major victor for Baldwin II of Jerusalem prior to his second captivity in 1123.