Mar Ukva would not sit in court on days when a strong, distracting wind blew: Eruvin 65a
Rabbi Chanina permitted Mar Ukva to marry a woman who had been nursing a baby for only fifteen months [despite potential concern for a new pregnancy which could curtail her milk]: Ketuvot 60b
Medical Practices
Mar Ukva was asked by Rabbi Yannai to send Shemuel's eye-medications: Shabbat 108b
Set of statements quoting Shemuel on various medications: Shabbat 108b-109a
Mark Ukva was able to drink large quantities of wine after a hot bath, because he was used to it: Shabbat 140a
Mar Ukva prescribed "Chiltit [assa foetida]" to Rav Acha Bar Yosef for his "heavy heart": Shabbat 140a
Mar Ukva's Tzedakah
The lengths to which Mar Ukva and his wife went to avoid embarrassing a pauper they were secretly helping: Ketuvot 67b
Mar Ukva would give 400 zuz to a pauper every Erev Yom Kippur. One year he sent it via his son, who reported that the pauper didn't need it; the pauper was using aged wine as a floor treatment! Seeing the man's lifestyle, Mar Ukva doubled the sum to support that lifestyle: Ketuvot 67b
When he was dying, Mar Ukva gave away half of his funds for tzedakah: Ketuvot 67b
In General
Mar Ukva saying, "Mar [Master] Shemuel explained it to me this way...": Eruvin 81a
Mar Ukva was ex-Communicated by his teacher, Shemuel, for not escorting him once as he usually did: Moed Katan 16b
The controversial way that Mar Ukva's orphans lent out a pot to Shemuel: Bava Metzia 70a
Mar Ukva sent letters to Rabbi Elazar asking what he could do about ruffians who were bothering him; Rabbi Elazar told him to wait, and they would be punished, and so it happened that they were jailed: Gittin 7a
Mar Ukva thought to keep the customs of mourning for his wife's brother, until Rav Huna told him that this was not necessary: Moed Katan 20b
Rav Anan sent a message to Rav Huna, calling him "our friend Huna הונא חברין"; Rav Huna was upset, and he sent a response with Rav Sheshet calling him "Anan" without an honourific and with implicit insult. Rav Anan complained to Mar Ukva - who justified Rav Huna's reaction: Ketuvot 69a