Power/Speed of flight: Berachot 4b
And R' Bibi Bar Abayye, and Miriam Migadla Sayar Nishaya/Migadla Dardiki: Chagigah 4b-5a
Taking people before their time: Chagigah 4b-5a
Stalling the angel of death by studying Torah: Rashi Eruvin 26a s.v. "leHoshiv"; Moed Katan 28a; Makkot 10a
Gift to Moshe at the Giving of the Torah was the secret of life-saving Incense: Shabbat 89a
Freeing people from paying damages if an item in their charge dies, because "The Angel of Death would have taken it Here or There": Bava Metzia 36b
The Angel and King Shelomo: Succah 53a
The Angel and Rava: Moed Katan 28a
The Angel and Rav Nachman: Moed Katan 28a
R' Elazar stalled the Angel of Death by eating Terumah: Moed Katan 28a
Rav Sheshet stalled the Angel by asking that he not die in the marketplace like an animal: Moed Katan 28a
Rav Ashi stalled the Angel of Death by asking that he be given 30 days to review his learning, but then he had to go because it was time for the next Leader: Moed Katan 28a
Rav Chisda stalled the Angel of Death by learning Torah, until the Angel snapped a board of the Study Hall, and he paused and died: Moed Katan 28a; Makkot 10a
The Angel of Death couldn't get close to R' Chiyya until he pretended to be a pauper, and when R' Chiyya gave him bread he asked, "Now why won't you have mercy on me in my job as the Angel of Death?" and killed him: Moed Katan 28a
The Angel of Death protects the corpses of those who die with fevers, from being damaged by their own heat: Nedarim 41a-b
The Satan
The Gematria of the term, "The Satan": Nedarim 32b
The Satan working to thwart the efforts of the Nations of the World: Megillah 11b
Saying "to the Satan," "[This should be] an Arrow in the Eye of the Satan!": Succah 38a; Kiddushin 30a
Satan between the horns of a [black] ox [during the Nisan season]: Pesachim 112b Avraham's progression to completeness, and his dominance over the Satan: Nedarim 32b
The Satan and the circumcision of Moshe's son: Nedarim 32a
Satan searching for the Torah after it was given, eventually arriving at Moshe: Shabbat 89a
Satan confusing and frightening the Jews, causing the sin with the Golden Calf: Shabbat 89a
The Satan "dancing" at Achashverosh's party, and causing strife: Megillah 11b
The Blowing of the Ram's Horn in the Rosh HaShanah Service confuses the Satan: Rosh HaShanah 16a-b
It is necessary to confuse the Satan on Rosh HaShanah, in order to ensure our success in judgment: Rosh HaShanah 16b
Avoiding behavior which could "stir up" the Satan against someone: Eruvin 26a