And Abram said, Lord God, what wilt Thou give me,seeing I go childless, and the steward of my house is this Eliezer of Damascus? — King James Version
According to most interpretations, the unnamed servant in Genesis 24 who searched for a bride for Isaac was this Eliezer. There is also an interpretation, cited by Rashi, that Eliezer went alone with Abraham to rescue Lot, with the reference to 318 men (Genesis 14:14) being the numerical value of Eliezer's name in Hebrew.
A prophet called Eliezer, son of Dodavah, rebuked King Jehosophat for aligning himself with Ahaziah, the King of Israel. He and Ahaziah built ships in Ezion Geber which were to sail to Tarshish for trade. According to 2 Chronicles (20:37), the ships sank due to his not relying on the Lord:
Eliezer son of Dodavahu of Mareshah prophesied against Jehoshaphat, saying, "Because you have made an alliance with Ahaziah, the LORD will destroy what you have made." The ships were wrecked and were not able to set sail to trade.
Eliezer at Yale
Eliezer is the name of the 501(c)(3) non-profit organization which supports the activities of the Yale student club at Yale University.