Angel of Babylon - In Midrash Tehillum we learn that "the angel of Babylon mounted 70 rounds [of the ladder of Jacob] and the angel of Media 52." Neither the name of the angel of Babylon not that of Media is given.
Angel of the Balances [Soqed Hozi, Dokiel, Michael, Zehanpuryu'h]
Angel of the Baptismal Water - Is generally assumed to be Raphael. It was Tertullian who declared that the baptismal water receives its healing properties from an angel (whom, however, he did not name).
Angel of Barreness [Akriel]
Angel over (Tame) Beasts [Behemiel, Hariel]
Angel Over (Wild) Beasts [Thegri (Thuriel), Mtniel, Jehiel, Hayyal]
Angel of Benevolence [Zadkiel, Hasdiel, Achusah]
Angel Over Birds [Arael, Anpiel]
Angel of the Bottomless Pit - Same as angel of the abyss, i.e. Abaddon (which is the Hebrew form for the Greek Apollyon), as in Revelation 20. Known in post-Biblical lore as the "destroyer' and "king of the demonic locusts' or 'grasshoppers.'
Angel of the Burning Bush - Zagzagel; Michael. A strict interpretation of the use of the term (in Exodus) would suggest that it is the Lord Himself who is the angel of the burning bush, made manifest in angelic guise. Rembrandt did a well known painting of the subject titled "Moses and the Burning Bush."