In Josephus' Antiquities of the Jews, he records an incident that led to the removal from office of the high priest of the Temple.
According to this account, the Roman proconsul of Judaea, Porcius Festus died in office. It took some time for word of his death to reach Rome, and an equal amount of time for his replacement to arrive in the region. During the intervening weeks, the high priest of Israel, a man named Ananus ben Ananus (or Hanan ben Hanan), decided to exploit the power vacuum by getting rid of some of his opponents. Among these was James, the brother of Jesus. Ananus had him, and several others, executed. The people of Jerusalem took offense at this, because Ananus had exceeded his authority - only the Roman proconsul was allowed to order an execution.
Therefore, when the new proconsul, a man named Albinus, arrived in the region, the people of Jerusalem complained about Ananus' actions. Albinus deposed Ananus from office, and replaced him with a man named Jesus, son of Damneus. Ananus was demoted to priest, and here he drops out of the record until the Jewish Revolt. During the siege of Jerusalem, Ananus took on a position of leadership and led the people of Jerusalem against the Zealots. I'm not sure what became of him after this, but it seems likely that he was killed along with everyone else in the city when the Romans finally destroyed Jerusalem.
Does Ananus appear in other Jewish records of the period?