R' Yosi always has a sound reason behind his legal decisions [Nimuko Imo]: Eruvin 14b, 51a
Set of extra-legal statements, quoted by R' Yochanan: Berachot 7a
Set of Statements on various groups of people who he would like to imitate: Shabbat 118b
Had 5 great sons: R' Yishmael, R' Elazar, R' Avtilus, R' Menachem, R' Chalafta: Shabbat 118b
Was a regular [non-Kohen/Levite] Jew: Shabbat 118b
Never said anything about anyone and had to recant before them: Shabbat 118b
Hailing from Bavel and upset over insults to Babylonians: Yoma 66b
Suffering from Bulmus: Yoma 83b
Didn't rely on an analysis of the name of Kidor the Innkeeper: Yoma 83b
R' Yosi and a blind man who was carrying a torch so that people could help him: Megillah 24b
Called his wife his "House": Shabbat 118b
Called his ox his "Field": Shabbat 118b
With Eliyahu, praying in a Ruin: Berachot 3a
Never contradicted another: Shabbat 118b
Never gazed below his belt: Shabbat 118b
Was careful when changing clothing, to cover the area below his belt: Shabbat 118b
Said that he wanted to be one of those who are suspected baselessly: Moed Katan 18b
Was brought to teach Torah while still in mourning for his son, because he was needed: Moed Katan 21a
The eulogy for him: Moed Katan 25b
Interaction with other Sages
R' Yosi exclaiming to R' Yehudah, "May your mind rest, for you have set my mind to rest!": Yoma 66b [See Rav Chiyya Bar Avin] R' Yehudah responding to an explanation by R' Yosi, "May your mind rest, for you set my mind to rest": Menachot 45a
Angry at Rabban Shimon Ben Gamliel for asking whether he should use R' Yehudah's opinion against his [R' Yosi] own: Pesachim 100a
Labelled "BeRebi" [Leader of the Generation] by Rabban Shimon Ben Gamliel: Pesachim 100a
R' Yosi exclaiming on the words of R' Shimon, "The lips of one who answers appropriate words, should be kissed!": Gittin 9a
Two Sages of the Mishnah debating exactly what R' Yosi said: Taanit 28a Rebbe was his student: Niddah 14b
R' Yosi cited "three statements in the name of three elders": Makkot 19a; Temurah 21a-b
Rav recanted on a ruling which opposed R' Yosi's view, because R' Yosi "always has a reason [Nimuko Imo]": Eruvin 14b
Rabbah making a statement in the name of R' Yosi to Rav Yosef, not because R' Yosi actually said it, but because that way Rav Yosef would accept it: Eruvin 51a
Personal Practices
Relating the Chalitzah Method of R' Yehudah Ben Beteirah to a Sage in Netzivin: Yevamot 102a (Note that in the Tosefta this story is ascribed to R' Shimon)
Rescinded a man's vow, because it had been made only in an attempt to convince his wife to listen to him, and she hadn't listened: Nedarim 23a How we decide law when R' Yosi disagrees with a group: Eruvin 46b How we decide law when R' Yosi disagrees with R' Yehudah: Eruvin 46b-47b How we decide law when R' Yosi disagrees with R' Meir: Eruvin 46b-47a How we decide law when R' Yosi disagrees with R' Shimon: Eruvin 46b