Avraham saying, in the future, that the Jews should be destroyed to sanctify Gd's name for their sins: Shabbat 89b
Gd's promise to Avraham was for a limited territory, unlike the promise to Jacob: Shabbat 118b
Labelling Avraham a "Prince" as the first Convert: Succah 49b
Avraham as one of the 7 "Shepherds" - King David, flanked on the right by Adam, Shet and Methuselah, and on the left by Avraham, Yaakov and Moshe: Succah 52b
Once Avraham was sanctified, his descendants were called on his name, not on Noah's: Nedarim 31a
Whether the Ishmaelites are considered descendants of Avraham: Nedarim 31a
Avraham getting the right to have the Kohanim descend from him instead of from Shem / Malki Tzedek, when Shem blessed Avraham before thanking Gd after the war with the Kings: Nedarim 32b
Talmudic references to Gd as "Mareih deAvraham - Master of Abraham": Eruvin 75b; Ketuvot 2a
Gd presenting Heaven and Earth to Avraham: Sotah 4b
