Angel of Ice - An angel mentioned but not named in The Book of Jubilees and in the Revelation of John, the latter a New Testament apocryphon. The Mayans have a god of ice called Izlacoliuhqui.
Angel of (and over) Immorality - His name is Zethar and he is one of the angels of confusion. In Targum Esther, Zethar is the "observer of immorality," God sent him down, with 6 other angels of confusion, to put an end to King Ahasuerus' pleasure.
Angel of iniquity - "The angel of iniquity is bitter and angry and foolish; and his works are pernicious"--from the New Testament apocryphon Hermas II. While the angel is not named, he may be identified as Apollyon.
Angel of Insolence - Rahab, who is also the angel or demon of the primordial waters and sometimes identified as the angel of death.
Angel of Insomnia - Michael, who was sent by God to cause the sleeplessness of Ahasuerus (the king who, on the advice of the wicked Haman, had decreed the annihilation of all the Jews in the kingdom). The tale is told in Targum Esther and repeated in Ginzberg The Legends of the Jews.
Angel of Intecession - An unnamed angel who interceeds "for the people of Israel, so that they may not be utterly destroyed," as the angel declared to Levi when the latter went to Heaven (in a dream).
Angel of Inventions - Liwet, an uthra (angel) in Mandaean religious lore.
Angel of Ire [Zkzoromtiel]
Angel of Irrevocable Choice [Zeffar]
Angel of Israel - Michael. Also Javan and the unnamed angel in the Testament of Levi and the Testament of Dan (in the Testament of the Twelve Patriarchs).