Died in 1204

Jan 1 Haakon III of Norway King of Norway from 1202 to 1204.
Feb 8 Alexios IV Angelos Byzantine Emperor from August 1203 to January 1204. He was the son of Emperor Isaac II Angelus and his first wife Irene. His paternal uncle was Emperor Alexius III Angelus
Apr 1 Eleanor of Aquitaine one of the wealthiest and most powerful women in western Europe during the High Middle Ages and a member of the Ramnulfid dynasty of rulers in southwestern France. She became Duchess of Aquitaine in her own right while she was still a child, then later Queen consort of France and of England. She was the patron of literary figures such as Wace, Benoît de Sainte-Maure, and Bernart de Ventadorn
Aug 11 Guttorm of Norway the King of Norway from January to August 1204, during the Norwegian civil war era. As a grandson of King Sverre, he was proclaimed king by the Birkebeiner party when he was just four years old. Although obviously not in control of the events surrounding him, Guttorm's accession to the throne under the effective regency of Haakon the Crazy led to renewed conflict between the Birkebeiner and the Bagler parties, the latter supported militarily by Valdemar II of Denmark
Aug 12 Berthold Duke of Merania the Count of Andechs and first Duke of Merania , that is, the seacoast of Dalmatia and Istria. In 1188 he was appointed as margrave of Istria and from 1180 to 1182 he was duke of Croatia and Dalmatia
Aug 14 Minamoto no Yoriie the second shogun of Japan's Kamakura shogunate, and the first son of first shogun Yoritomo.
Nov 30 Emeric King of Hungary King of Hungary and Croatia between 1196 and 1204. His father, Béla III of Hungary, had him crowned king in 1184, and appointed him to rule Croatia and Dalmatia around 1195. Emeric mounted the throne after the death of his father. He spent the first years of his reign fighting against his rebellious brother, Andrew, who forced Emeric to grant him Croatia and Dalmatia as an appanage
Dec 12 Waleran de Beaumont 4th Earl of Warwick the younger son of Roger de Beaumont, 2nd Earl of Warwick and Gundred de Warrenne, daughter of William de Warenne, 2nd Earl of Surrey and Elizabeth de Vermandois. He was also known as Walerian de Newburg
Dec 12 Maimonides a preeminent medieval Spanish, Sephardic Jewish philosopher, astronomer and one of the most prolific and influential Torah scholars and physicians of the Middle Ages. He was born in Córdoba , Almoravid Empire on Passover Eve, 1135 or 1138, and died in Egypt on December 12, 1204. Location of his death is possibly Tiberias, where his son and his tomb are set. There are several indications to the authenticity of the location, and traditions about the occasion of his death in Tiberias. He was a rabbi, physician, and philosopher in Morocco and Egypt
Dec 22 Fujiwara no Shunzei a noted Japanese poet and nobleman, son of Fujiwara no Toshitada. He was also known as Fujiwara no Toshinari or Shakua ; in his younger days , he gave his name as Akihiro , but in 1167, changed to Shunzei. He was noted for his innovations in the waka poetic form, and for his achievement in compiling Senzai Wakashū , the seventh Imperial anthology of waka poetry; this work was at the behest in 1183 of the Retired Emperor Go-Shirakawa, who despite Shunzei's low rank , admired him. Go-Shirakawa's trust in Shunzei is significant, as Imperial anthologies were landmarks in the poetic circles of the court, second to no other events in significance; poets were literally willing to risk their lives just for the chance to have a poem included. His son, Fujiwara no Teika, is considered one of the four best poets in Japanese history