Suffered loss of children: Berachot 5b
Adding a prayer for Peace, Learning of Torah, and his Good Nature to the end of the Amidah: Berachot 16b
Crying over verses hinting at the harshness of Hashem's judgment: Chagigah 4b
R' Elazar stalled the Angel of Death by eating Terumah: Moed Katan 28a
R' Elazar allowed bills to be read to him, without reading them himself, when they were brought for his signature as witness: Gittin 19b
How he began his teaching of the Purim Story: Megillah 11a
R' Elazar rescinded a man's vow, when the man claimed that he would not have vowed if others hadn't antagonized him at the time: Nedarim 21b
R' Elazar was so immersed in his study that he forgot his other affairs; he would learn in the upper market in Tzippori, and forget his belongings in the lower market. Once someone came to take them, and found a snake there [protecting them]: Eruvin 54b
Departing from before R' Yochanan: Yoma 53a
Physical Suffering removed by R' Yochanan: Berachot 5b
Crying over the eventual death of R' Yochanan: Berachot 5b
Using R' Yochanan's argument, without citing him: Ketuvot 25b
Rav Asi took care of his mother in her old age, until she became senile, and he moved to Israel. When she followed him, he asked R' Yochanan whether he should leave to greet her, and after an initial "I don't know," R' Yochanan blessed him. Uncertain whether R' Yochanan was angry at him, Rav Asi asked R' Elazar for his opinion, and R' Elazar replied that R' Yochanan was not angry at him: Kiddushin 31b
R' Yochanan said there were two cases which fit a rule, and listed one. R' Elazar asked which was the other one, and R' Yochanan told him to figure it out himself, which he did: Makkot 16a
A sage rejecting a potential explanation/justification of R' Yochanan's view, because R' Elazar was R' Yochanan's student, and R' Elazar did not suggest that explanation/justification: Temurah 25b
R' Chanina bar Yosef, R' Chiyya bar Abba and R' Asi were staying in an inn together and had a Halachic question; R' Chanina bar Yosef gave a leniency, which R' Asi opposed. R' Chiyya bar Abba said, "Let us depend on the elder," which they did. They later asked R' Yochanan, and he approved of their actions, to the amazement of the students in Neherdaa and of R' Elazar: Eruvin 65b-66b
R' Elazar asking questions, and R' Yochanan expressing shock, "How could it be that this one grew up among us for many years, and he did not hear this halachah from me!": Keritot 27a
R' Elazar asking a question, and R' Yochanan expressing shock, "How is it that no one asked us this question all these years?": Keritot 27a
Interaction with other Sages
Mar Ukva sent letters to R' Elazar asking what he could do about ruffians who were bothering him; R' Elazar told him to wait, and they would be punished, and so it happened that they were jailed: Gittin 7a
Ulla came to Pumbedita and refused to examine a case of menstrual blood, because R' Elazar had refused to examine a case when in R' Yehudah's town: Niddah 20b
Ulla called R' Elazar, "Master of Israel" [because of a case in which R' Ami witnessed R' Elazar correctly identify a type of blood from the genitals, by the smell of the blood]: Gittin 19b; Niddah 20b
R' Elazar saying to R' Yoshiyah [the Junior], "Don't sit down until you explain" a certain law: Kiddushin 36b; Menachot 71a
R' Elazar expressed amazement at an opinion. R' Zeira asked what his problem was. Rav Sheshet asked, "A great man like R' Zeira doesn't know what was bothering R' Elazar?!" Rav Sheshet then explained it: Eruvin 66a
R' Elazar termed R' Yudin, "The Leader of the Generation": Kiddushin 21b
R' Elazar was corrected by R' Abba bar Zavda, and he acknowledged it by citing the verse, "Two are better than one": Megillah 5b
R' Elazar said of R' Chanina, "His humility allows me to rule" on certain cases, because if one of such humility could rule on them, R' Elazar felt that he could, too: Niddah 20b
Reish Lakish and R' Elazar had a disagreement about a law, and in a later discussion R' Yochanan stated an opinion matching what R' Elazar had said, leading Reish Lakish to express anger at R' Elazar for not citing the view as R' Yochanan's view: Makkot 5b
R' Elazar didn't come to the study hall once, and he found R' Asi and asked him what they had learned that day in the study hall: Eruvin 47a
R' Elazar asked a follow-up question on a case to Rav Yisrael, who responded with the verse, "Give to a wise man and he will become still wiser," meaning that the answer should be clear from the original case: Eruvin 65b
Rav Beruna once cited a lesson taught by Shemuel, and R' Elazar couldn't believe Shemuel had said it. R' Elazar challenged Rav Beruna to show him where Shemuel was staying, which he did. R; Elazar asked Shemuel whether he had said it, and Shemuel confirmed it. R' Elazar challenged the lesson based on another of Shemuel's statements, and Shemuel was silent; it was unclear whether Shemuel had accepted R' Elazar's point.: Eruvin 74a-b
Rav Beruna cited a lesson taught by Rav, and R' Elazar couldn't believe Rav had said it. R' Elazar challenged Rav Beruna to show him where Rav was staying, which he did. R; Elazar asked Rav whether he had said it, and Rav confirmed it. R' Elazar challenged the lesson based on another of Rav's statements, and Rav explained the difference.: Eruvin 85a-b
R' Elazar citing a lesson which had been taught in the Study Hall of Rav, when Rav Elazar had been in Bavel: Eruvin 89b
R' Yehoshua ben Levi mentioned there were 24 instances of a certain law, and when R' Elazar asked that he enumerate them, R' Yehoshua ben Levi said, "Go find them": Berachot 19a Rav identifying R' Elazar as "Tuvina daChakimi" - the best of the sages: Keritot 13b
R' Elazar provided a tannaitic source to support Reish Lakish's argument, and Reish Lakish replied, "I brought you a mishnah, and you bring me a lone tanna to support me?": Zevachim 5a
Sets of Statements
Set of statements, cited by Ulla: Bava Kama 11a-12a
Set of statements on Ruth: Shabbat 113b
Set of statements on retaining one's Torah study: Eruvin 54a
Set of statements relevant to death: Moed Katan 28a
Set of statements, citing R' Chanina, of non-law-oriented Talmud: Megillah 15a0b
Set of statements on Charity and General Generosity: Succah 49b
Set of statements on arrogance: Sotah 5a
Set of Statements of R' Binyamin bar Yefet's, some of which cite R' Elazar, on Joseph and his brothers: Megillah 16b
R' Elazar on the power of the Altar: Ketuvot 10b