Outremer
The End
I recount the fall of Acre and the last crusader outposts elsewhere at this site. As for the Kingdom of Jerusalem, the title still carried considerable prestige and the great princes of Europe vied for it with marriage and money. The lords of Cyprus claimed to inherit the rights, and so the Lusignan family of Cyprus carried the title. When that line failed, the title was handed on to the Kingdom of Savoy (1485), and they continue to use the title, down to modern times.
The Hohenstaufen, however, also had a claim. Although the family was destroyed in the 13th century, the title technically went with the imperial crown and so passed eventually to the Habsburgs. That claim lapsed with the end of the Habsburg monarchy in 1919.
That ambitious man, Charles of Anjou, also laid claim to the title, in the wake of the fall of Acre, and his claim had papal blessing. This Angevin claim had a complex journey, passing at various times through Naples, Hungary, Poland, and France.
Finally, by virtue of the conquest of Sicily by Aragon in the 15th century, claim to Jerusalem is also main by the kings of Spain. That title, too, is used by the current king of Spain.
Later Crusades
This really deserves a separate essay. Maybe later.
The idea of recovering the Holy Land of course did not vanish in 1291. Indeed, there was quite a bit of enthusiasm for crusading in the early 1300s and a couple of expeditions went east.
When the Black Death hit, crusading came to a halt along with most everything else, and it was a couple of generations before that started up again. By the time it did, the focus of crusading had changed, moving away from Egypt to southeast Europe, for by then the chief threat were the Ottoman Turks. A huge expedition was launched in 1390, coming to a catastrophic end in 1391. Another was fielded in 1444, again ending in total defeat.
Then Constantinople fell in 1453 and the whole undertaking became even more daunting. Even so, a resurgent papacy began calling for crusades, and crusading indulgences were issued quite regularly. When the Reformation shattered the religious unity of the West, however, the idea of rescuing holy places and holy relics was finally laid aside.