The respect with which he treated his father, Rabbi Avahu: Kiddushin 31b
Avimi had five sons who become Rabbis in his lifetime: Kiddushin 31b
Lessons he brought from Bei Chozai: Niddah 5b
Mar Yehudah saw that Rav Huna bar Yehudah was transporting items on Shabbat in an enclosed, planted area even though it didn't fit Avimi's specifications; Rav Huna bar Yehudah explained that he held with Rav Nachman's view: Eruvin 24a