[4] The genus branched by his sons Budislav, Pavle and Grgur,[1] who during the 14th century were vassals of Paul and Mladen II Šubić of Bribir, and during Kurjak's lifetime they acquired Krbava županija as heirdom.

[3][1] From the family of Budislav branched Čekliški, Bužanski, Humljanski, Lički, Mrsinjski named after the property, Grof, and Karlović after Karlo Kurjaković.

Between 1324–1326 they were successful allies of Ivan Nelipić who defended Knin Fortress,[9] and with Juraj Mihovilović, cities of Šibenik and Trogir, against forces of George II Šubić of Bribir, Counts of Krk, city of Zadar, Stephen II, as well as Ban of Slavonia Mikac Mihaljević who was sent by King Charles I of Hungary to centralize royal authority.

Since 1330 until 1360, led by Budislav and Grgur, they played a very complex policy of neutral alliance with conflicting Hungarian kings and the Republic of Venice.

His descendants would continue gathering foreign estates, but direct male line ended with Ladislav Zakanjski in the 15th century.

[10][3][3] In 1400, Butko paid Hrvoje Vukčić Hrvatinić to not attack Pavao I Zrinski, whose sister Elizabeth I was married to Toma.

In the mid 15h century, Toma built fortress Ripač on the river Una in 1442, and his son Grgur fort Kličevac near Benkovac in 1453.

[3] In 1454, Grgur of Toma entered the service of Ulrich II, Count of Celje, which was not welcomed by Venice, and the next year asked in vain for a truce and to be their mercenaries.

In 1490, he was in contact with Maximilian I, Holy Roman Emperor, 1491 with Ban Ladislaus Egervári defeated Ottomans at Una River, opposed the coronation of Vladislaus II of Hungary, and in 1493 besieged Senj with Ivan VIII (Anž) Frankopan, while Obrovac in Venetian rule by his own.

Karlo died before or during the devastating Battle of Krbava Field (1493), when Ban Emerik Derenčin and others were captured and killed by Ottoman forces.

[3][17] By marriage, they got fortress of Zvonigrad near Knin, and Obrovac near river Zrmanja, which was important for the control of trade routes between Lika and Dalmatia.

[18][15] By fortification of Zelengrad, Kličevac and Otavac in the 15th century they controlled upper Bukovica and central part of the županija of Luka.

The coastal city of Bag (Karlobag), which governed since 1324 and initially divided with count Petar Disislavić,[3] was used as an important trade port and when they lost it in 1481, Karlo III even negotiated with the Ottomans.

[15] Specifically, the branch of Budislav of Kurjak which predominantly stayed in the county of Krbava until its dissolution, at the time of his grandson Karlo II, castellan of Visegrád and Ban of Croatia, also lived in Slovakia.

They as castellans served at Dobra Kuća in Slavonia, Rašpor near Buzet in Istria, Klis in Croatia, then Greben, Kozar and Mrin on the boundary between Slavonia and Kingdom of Bosnia, while with trade business with the Republic of Venice and political connections in Hungary managed to get Zákány in Somogy County and Gračenica district of Bjelovar-Križevci County, because of which were called as Zakanjski and Gračenički.