Hello!
Here are some more ruling authorities:
Alamut State
Muhammad ibn Buzurg-Ummid, 1138-1162 (N#81436)
Hassan II 'Ala Dhikrihi's-Salam, 1162-1166 (N#81445)
Nur al-Din A'la Muhammad II, 1166-1210 (https://www.zeno.ru/showphoto.php?photo=20235)
Jalal al-Din Hasan III, 1210-1221 (https://www.zeno.ru/showphoto.php?photo=265538)
'Ala al-Din Muhammad III, 1221-1255 (N#81435)
(N#81437)
(N#81444)
(N#81442)
Rukn al-Din Khurshah, 1255-1256 (https://www.zeno.ru/showphoto.php?photo=204893)
^ The first person was a Da'i; the others Imams. Assuming we don't have these titles, Lord would suffice.
Begtegīnid dynasty
Muzaffar al-Din Kokburi (N#196387)
Harthamid dynasty
Rafi ibn Harthama (N#184555)
Ildegizid dynasty
Shams al-Din Eldigüz, circa 1135-1175 (https://www.acsearch.info/search.html?id=1491069)
Muhammad Jahan Pahlawan, 1174-1186 (https://www.acsearch.info/search.html?id=597869)
Qizil Arslan, 1186-1191 (N#278228)
Sanjar ibn Suleiman-Shah, Prince (N#278228)
Nusrat al-Din Abu Bakr, 1191-1210 (https://www.acsearch.info/search.html?id=6245327)
Muzaffar al-Din Uzbek, 1210-1225 (https://www.acsearch.info/search.html?id=494407)
Injuid dynasty
Jalal al-Din Mas'ud Shah, circa 1338-1342 (https://www.zeno.ru/showphoto.php?photo=301049)
Jamal al-Din Abu Ishaq, circa 1343-1357 (N#61818)
Kakwayhid, Emirate of
Ala al-Dawla Muhammad, 1008-1041 (https://www.zeno.ru/showphoto.php?photo=275013)
Abu Mansur Faramurz, circa 1041-1079 (N#212135)
Pishkinid dynasty
Pishkin II, circa 1195-1203 (N#147212)
Mahmud ibn Pishkin, circa 1212-1226 (N#276483)
Qunduz, Emirate of
Amīr Khusro, 1497-1505 (N#72673)
Qutlugh-Khanid dynasty
Kutlugh Turkan, Sultana, 1257-1282 (https://www.acsearch.info/search.html?id=2583709)
Jalal al-Din Suyurghatmish, 1282-1292 (https://www.zeno.ru/showphoto.php?photo=267103)
Safwat al-Din Padishah Khatun, Sultana, 1292-1295 (https://www.acsearch.info/search.html?id=1832941)
Qutb al-Din Shah Jahan, 1295 (https://www.acsearch.info/search.html?id=1832942)
Muzaffar al-Din Mohammad, 1295-1304 (N#185697)
^ Queen works if we don't have Sultana as a title.
Lines 39 to 68:
https://docs.google.com/spreadsheets/d/17Cp1TyzOXknGDZu8_YCmwgd4gS56GvxvIATQW40rYmM/edit?usp=sharing
