The Kingdom of Jerusalem and most assorted dependencies are never founded, though several other European attempts to 'liberate' Jerusalem end up helping the Byzantine Empire.
The capture of Antioch by an Imperial Army in the early 12th century is probably in the cards, since the First Crusade gave the Byzantines enough of a shot in the arm to reconquer the rest of the Anatolian coast. Antioch would anchor the Empire's Cilician frontier and provide an excellent base to keep an eye on unreliable Armenian vassals. If Antioch gets captured fast enough, the County of Edessa might even survive, as an odd little Latin-ruled vassal on the Byzantine Empire's far eastern border. Maybe the Byzantines end up trading the Count of Edessa some more strategically important real estate closer to the Iconium Sultanate down the line.