Angels are expert in knowing the ins and outs of Embryology: Nedarim 20b
Arguing with Angels' statements of Law: Nedarim 20a, 20b
Angels' Shifts in Heaven: Berachot 3a
Number of Angels' Shifts: Berachot 3b
Moses was put into the sea on the 21st of Nisan, and the angels protested that he shouldn't suffer on the water on the date when he was destined to sing to Gd by the Sea: Sotah 12b
Moses was put into the sea on the 6th of Sivan, and the angels protested that he shouldn't suffer on the water on the date when he was destined to receive the Torah: Sotah 12b
The Angels' desire to praise Gd when he drowned the Egyptians, and Gd's rebuke to them: Megillah 10b
Shemuel's father and Levi leaving a synagogue on hearing Angels approaching: Megillah 29a
Rav Sheshet was sitting in a synagogue, and when angels and the Manifestation of Gd's Presence approached, he asked that they leave rather than make him leave, as he was blind; they acquiesced to his request: Megillah 29a
An angel appeared to Rav Ketina, and chided him for wearing clothing which was exempt from Tzitzit-Fringes: Menachos 41a
Angels informing Rabbi Yochanan ben Dahavai of certain causes of certain deformities in people: Nedarim 20a, 20b