Re-establishing what the threshold quantities are for transgressions, to mandate punishment: Yoma 80a
Court of Sheru Mishcha
Declaring that the time on a Bill proves its time of effective action: Ketuvot 2b
Court of Usha
When the Court was in Usha: Rosh HaShanah 31a-b
Accepting testimony on the New Month there: Rosh HaShanah 22b, 32a
On determining the status of produce for tithing and for mandating its destruction at the end of the Sabbatical year: Rosh HaShanah 15a-b; Succah 40a
They let a woman who had said "I am married" marry, with a Rationalization for why she might have said that: Ketuvot 22a
Rabbinic institution in Usha permitting husband to repeal his wife's sale of shared properties, after her death: Bava Metzia 35a
Rabbinic institution to not ex-communicate a Chief Justice for sinning once: Moed Katan 17a
Rabbis of Caesaria
Their Mathematical calculations: Succah 8a-b
Rabbis of Yavneh
When the Court was in Yavneh: Rosh HaShanah 31a-b
They said that the main factor in an individual's service of Hashem is his Intention: Berachot 17a
On whether Torah will ever be forgotten from the Jews: Shabbat 138b
In honor of the miracle of the non-decay of the bodies of the Betar rebels in the years before their burial, and in honor of the granting of permission for their burial, the Rabbis of Yavneh established a fourth blessing, "HaTov VeHaMaytiv," for the Blessing after Meals: Taanit 31a
How they used to pray the "Musaf" service of Rosh HaShanah: Rosh HaShanah 32a
Whether the Kohanim gave the annual half-shekel donation for the daily offering: Menachot 46b R' Yochanan ben Zakkai asking Roman General Vespasian for the safety of the sages of Yavneh, the survival of Rabban Gamliel's line, and medical treatment for R' Tzaddok: Gittin 56b