Attempted to institute the inclusion of the Ten Commandments in Recitation of Shema in Neherdaa: Berachot 12a
Allowed watering the floors of the houses on Shabbat in Mechoza, because they all had stone floors: Shabbat 95a
Refused to use Liquor for Havdalah until he determined that it was "Chamar Medinah" [the local 'wine'] because it was offered to him in two separate visits for Havdalah: Pesachim 107a
Ameimar was taught a protective chant by a Head Sorceress, against sorceresses: Pesachim 110a-b
Ameimar counted only days and not weeks for the Counting of the Omer, claiming that it was a rememberance for the Temple: Menachot 66a
Ameimar Tore clothing in mourning for his grandson, both before his son was present and then again when his son was there, and a third time when he realized he had been sitting down when he tore before: Moed Katan 20b
Ameimar excommunicated a debtor who wouldn't follow Ameimar to his court to settle a claim: Rosh HaShanah 31b
Ameimar declaring what popular practice should be in Neherdaa: Succah 55a
Ameimar permitted something in Mechoza, because the reason behind a rabbinic ban on the practice did not apply for that circumstance. He then saw that the result could lead to problems, and he forbade the practice: Eruvin 104a-b
Mar bar Ameimar reported his father's piety [in a business deal] to Rav Ashi. Rav Ashi asked, "But what if he would have died and the deal had been left to you?" And Ameimar died: Bava Metzia 68a
Ameimar's advance purchases of clay goods: Bava Metzia 74a
Interaction with other sages
Ameimar called Mar Zutra "Mar [Master]": Bava Metzia 22a
Rav Ashi, when Rav Kahana [or possibly Ameimar] informed him of a law which he admitted ignorance of, had Rav Kahana [or possibly Ameimar] teach it to him 40 times: Megillah 7b
Ameimar, Mar Zutra and Rav Ashi were at a blood-letter; Ameimar was able to identify which fluids were blood and which were not, but Rav Ashi was not, and so Rav Ashi disqualified himself from examination of menstrual bloodstains: Niddah 20a
Rav Nachman, Rav Chisda and Rav Sheshet were by the Exilarch on the second day of a two-day holiday, and a deer was brought which had been caught on the first day and slaughtered on the second day. Rav Nachman and Rav Chisda ate, reasoning that whichever day was the 'real' holiday, they were fine. Rav Sheshet refrained, holding that the days may be considered part of a single sanctity. Rav Sheshet then encountered Rabbah bar Shemuel and asked whether he had learned anything on the matter. When Rabbah bar Shemuel responded that they are two sanctities, Rav Sheshet said, "Don't tell them anything!" Rav Ashi reported, citing Ameimar, that the case was actually different, and that the last part involving Rabbah bar Shemuel never occurred: Eruvin 39b-40a
Ameimar, Mar Zutra and Rav Ashi were sitting before the palace of Persian King Yezdegerd, when food was brought past them. Rav Ashi saw that Mar Zutra was so faint that he was at risk of tzaraat. He gave Mar Zutra food from the platter, and then excused his actions to the Persian officers by saying he had seen bad pork in the dish, and he knew that by sampling the dish with his hand he would cause the king not to eat it. Indeed, they found such meat in it. Rav Ashi explained to the sages that he relied on a miracle only to save Mar Zutra's health: Ketuvot 61a-b
Rav Zvid's daughter-in-law rejected sexual relations with her husband, claiming he was repellent to her. Rav Zvid wanted to levy a financial penalty on her. A rabbinical court of Ameimar, Mar Zutra and Rav Ashi convened. There are two versions of the story, regarding whether they complied or not. In either version, Rav Gamda criticized them, accusing them of either kowtowing to Rav Zvid or flouting him, since the possibility of a financial penalty for this is controversial in Jewish law: Ketuvot 64a
Rav Manyumi breih d'Rav Nechumi interpreting Ameimar's legal opinion based on his interaction with litigants when a case came before him: Ketuvot 69a
Citations
Set of statements on aspects of Chalitzah procedure: Yevamot 103a
Ameimar citing the elders of Pumbedita: Eruvin 79b-80a