Lived as a bachelor in a big city, and was happy when he heard the Talmud about Hashem's praise for people who triumph in difficult battles with the Evil Nature; Rava said it didn't apply to him, though, because he wasn't regularly in a precarious position: Pesachim 113a-b
Creating an acronym to remember learning: Succah 55a
Known as a person who spoke honestly, from his heart: Makkot 24a [see Rashi]
Personal Practices
Wanted to be allowed to do forbidden work on the Rabbinically instituted Second Day of Holidays in private, because he was expert in the calendar and knew which day was the real Holiday: Pesachim 51b-52a
Split merchandise belonging to himself and "Issur" before a 2 witnesses, and then had to defend this to Rabbah bar Rav Huna: Bava Metzia 31b-32a
Interactions with other Sages
Praised Rav Huna Beraih DeRav Ika as someone who was careful to be exeact in his learning, like Rachbah of Pumbedita: Pesachim 52b
Rav Yosef alleged that Rav Safra praised Rav Huna Beraih DeRav Ika and agreed with him because he was more lenient: Pesachim 52b
Rav Safra being called "our friend" by Rabbah: Shabbat 124a
Rav Sheshet quoting Rav Safra to Rav Nachman, and calling him "Your friend Safra" [or per Shitah Mekubetzet: "our friend Safra"]: Bechorot 10b
The Sages didn't tear their clothing when he died, saying that he wasn't their personal teacher, until Abbaye corrected them: Moed Katan 25a
Abbaye stated a lesson before Rav Safra, who corrected him. When Abbaye told the correction to Rav Yosef, Rav Yosef rebuked him for not asking a certain question against Rav Safra's correction: Eruvin 45b
Abbaye was once teaching a lesson, and Rav Safra stumped him with a question. Abbaye re-told the exchange to Rav Yosef, who asked, "Why didn't you just answer X?" Abbaye had held differently from idea X, though: Eruvin 103a
Rav Safra reporting a lesson, and Rava explaining what it meant: Bava Metzia 65b