When Rav Nachman was dying, he asked Rava to tell the Angel of Death to be gentle with him. When Rava asked, "But isn't the master an important person", Rav Nachman explained that this stage, being important wouldn't help him: Moed Katan 28a
Rabbi 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 Rabbi Chiyya until he pretended to be a pauper, and when Rabbi 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
