Only Avraham, Isaac and Jacob qualify as Patriarchs, and only Sarah, Rivkah, Rachel and Leah Qualify as Matriarchs: Berachot 16b
Gd told Moshe to tell Avraham, Yitzchak and Yaakov that He had brought the Jews to Israel, fulfilling His oath: Berachot 18b
The effect of the intercourse of the Serpent was felt until the combined merit of 3 generations wiped it out and the 12 Tribes were born: Shabbat 146a
Gd took the Jews out of Egypt early in the merit of the Patriarchs and Matriarchs: Rosh HaShanah 11a
Reference to the Patriarchs as the "Strong Ones": Rosh HaShanah 11a
Reference to the Matriarchs as the "Beautiful Ones": Rosh HaShanah 11a
Reference to the Patriarchs via the biblical term "Kol [All]": Sotah 5a
Rebecca - Rivkah
Where Rivkah was bured: Eruvin 53a Esav ended up being buried on the same day as Jacob's burial, as their mother, Rivkah, had predicted: Sotah 13a
Rachel
Rachel was answered, by conceiving a child, on Rosh HaShanah: Rosh HaShanah 10b, 11a
Rachel's protection of Leah, by giving her the signs which Yaakov and she had established, was rewarded by having King Saul as her descendant: Megillah 13b Yaakov's declaration to Rachel that he would deal with Lavan in whatever way Lavan dealt with him: Megillah 13b
Leah
In Naming Reuven, she meant to contrast him with Esav: Berachot 7b
Where Leah was buried: Eruvin 53a
Leah came to Yaakov for sexual relations willingly, and so she merited to have a son [Yissachar] whose children were even wiser than the sages of Moshe's generation: Eruvin 100b
Yishmael
Gd's judgment of Yishmael, when he was a dying infant: Rosh HaShanah 16b
Why the Torah records the years of his life: Megillah 17a
Yishmael died at about the time of the Blessing of Jacob and Esav: Megillah 17a
Yishmael arranged the marriage of his daughter to Esav, but died before the marriage, which was done under the auspices of her brother, Navos: Megillah 17a
Whether Yishmael's descendants are considered descendants of Avraham, or not: Nedarim 31a
Lot, and the city of Sodom
His family's inheritance: Kiddushin 18a
Distance from Sodom to Tzoar, his initial refuge after the destruction of Sodom: Pesachim 93b
Publically reading and translating his story: Megillah 25b
The trait of Sodom was that they would not help another, even if it did not cost them anything: Eruvin 49a [see Rashi]
Lot's drunkenness as a barometer for levels of intoxication: Eruvin 65a
Nimrod
Avraham and Nimrod
Possibly named "Nimrod" as the one who caused the world to rebel ["Limrod"] against HaShem: Eruvin 53a; Pesachim 94b
Possibly named "Amrafel" as the one who threw Avraham into a fiery furnace: Eruvin 53a
Ancestor of Nevuchadnezzar: Pesachim 94a-b
Lavan
Yaakov's declaration to Rachel that he would deal with Lavan in whatever way Lavan dealt with him: Megillah 13b
