How many judges are required in setting up a Court of 23 Judges: Sanhedrin 2a
Every court is considered as powerful as that of Moshe: Rosh HaShanah 25a, 25a-b
Wise: Menachot 65a
Attractive: Menachot 65a
Tall: Menachot 65a
Aged: Menachot 65a
Versed in Magic: Menachot 65a
Know 70 languages: Megillah 13b; Menachot 65a
Disqualifications
Judges who aren't knowledgeable on the subjects on which they judge, are worse for the world than the Generation of the Flood were: Kiddushin 13a-b
The punishment for the Above: Kiddushin 13a
Requiring expertise in laws of Divorce and Marriage before dealing in such cases: Kiddushin 6a, 13a
Prohibition against teaching an ignorant [, practicing?] judge: Shabbat 139a
A judge may not decide law by comparing one case to another; if he doesn't know, he should refer to his Teacher: Yevamot 109b
Eligibility of a Person with a Physical Blemish: Yevamot 101a
A Convert judging a capital case of other Converts: Yevamot 102a
A Convert judging a capital case of Born Jews: Yevamot 102a
A Blind Person: Yevamot 101a
A eved: Ketuvot 22a
A Thief: Ketuvot 22a
Regaining Eligibility
Via Testimony of other Judges to his Repentance: Ketuvot 21b-22a
Honor of a Judge
Pious people are considered above Judges: Moed Katan 17a
At what distance a person must stand before a Chief Justice: Kiddushin 33b
Improperly eulogizing a Chief Justice: Kiddushin 33b
Has Status of a King: Rashi Yevamot 102a
A Judge is labeled 'Kereiti UPeleiti' for clarity and conciseness: Berachot 4a
