Asked Rava who would eulogize Rava, given that the people of Pumbedita hated him: Shabbat 153a
Rava sending a response to Abbaye, via Rav Shemaya bar Zeira: Eruvin 93a
Abbaye and Rava were labelled "dardiki [Children]" by Rav Yosef, for schemes they invented for carrying items prohibited for carrying on Shabbat: Shabbat 142b
Abbaye used to entertain Rava [perhaps Rabbah] by juggling eight, or perhaps four, eggs: Succah 53a
Abbaye in a dispute with Rava, flipping sides with him: Shabbat 92a
Abbaye answering for Rava's side in a debate: Shabbat 123a
Abbaye Killing Rav Pappa's parents via Evil Eye: Yevamot 106a
Called Rav Pappa "Yatom [Orphan]": (see Rashi) Ketuvot 17b
Placed Rav Pappa in the path of a "Ketev Meriri" Spirit instead of Rav Huna Beraih DeRav Yehoshu'a, because Rav Pappa was rich and had better Mazal: Pesachim 111b
Abbaye and Rava had a lifelong disagreement regarding transport on Shabbat in a certain alley in the house of Bar Chavu: Eruvin 15a
Rava diluted and then tasted wine and didn't like it, so he returned it to the store. Abbaye challenged him that the merchant might then sell it as undiluted wine: Bava Metzia 60a