Based on Rashi Eruvin 25b, Rav Bibi bar Abbaye is the same person as Rav Bibi.
Used a formula to see Mazikin [Damaging Spirits] and was injured: Berachot 6a
Planned to finish Double Review of the Weekly Torah Portion on the day before Yom Kippur, or to do it ahead of the Congregation's pace: Berachot 8b
Rav Bibi and the Angel of Death: Chagigah 4b-5a
Rav Bibi's care not to create the appearance of having a tattoo, even if it meant forgoing a type of treatment for a bloodletting wound: Makkot 21a
Rabbah bar Ulla asked Rav Bibi bar Abbaye, "Rebbe, isn't that a lesson we already learned in this Mishnah?": Eruvin 8a
Rav Bibi bar Abbaye asked a question, which sounded like Rami bar Chama's question. Rav Bibi responded, "Would I argue based on someone else's question?! Rather, I mean...": Eruvin 90a
Rav Bibi bar Abbaye apparently contradicting himself in explaining two parts of the same mishnah: Keritot 3b