Rabbi Tarfon's treatment of his mother: Kiddushin 31b
Rava commenting on a statement by Rabbi Tarfon: "His Master should forgive him!": Succah 32b
Rabbi Tarfon was admonished for reading Shema prone [by the road] like the House of Shammai's ruling: Berachot 10b
Gave candies to children, to keep them awake and involved on Pesach night: Pesachim 109a
Swearing on the life of his son: Shabbat 116a; Zevachim 13a
Rabbi Tarfon, Rabbi Yosi HaGelili, Rabbi Elazar ben Azaryah and Rabbi Akiva attempting to console Rabbi Yishmael on the loss of his sons: Moed Katan 28b
Rabbi Yehudah learning before Rabbi Tarfon: Kiddushin 14a
Rabbi Tarfon and the Sages, learning in the upper level of the house of Nitzah in Lud: Kiddushin 40b
Rabbi Tarfon said he had heard a lesson on a subject but he could not explain it, and then Rabbi Akiva explained it. Rabbi Tarfon swore "ha'Avodah," by the service in the beit hamikdash [or by the Name of Gd, per some commentators], that Rabbi Akiva was correct, and declared that anyone who departed from Rabbi Akiva was as though he was departing from his own life: Zevachim 13a
Rabbi Akiva and Rabbi Tarfon said that had they been on the courts, capital punishment would never have been administered. Rabbi Shimon ben Gamliel responded that they would then be increasing the number of murders: Makkot 7a
Rabbi Tarfon's rulings in Lod on price-gouging and profiteering, and the reaction of the Lod marketplace: Bava Metzia 49b-50b
Rabbi Tarfon issuing a ruling in the first part of a mishnah, and then issuing a contradictory ruling in the second part of that mishnah, implying that he recanted from the initial position: Bechorot 18b