Thank you. I agree, Messiah comes from the word anointed. And Bible tells there has been many anointed ones, people that were anointed to be priests, prophets or kings. But, it doesn't say directly that there will come "The Messiah" who will do something. Bible tells about many things of future persons who do great things, but many of those seem to be wrongly understood and attributed to "The Messiah".
Jesus Messiah is based on certain interpretations. And I think Old Testament predicts correctly Jesus. But it would be good to be careful on what is interpreted to be about Jesus and what is not. And often it is Messiah is connected to the Messianic age, I think it is wrong to say that Messiah would not do anything before that, as some seem to think.
I think Jesus fulfills best this prophesy:
Yahweh your God will raise up to you a prophet from the midst of you, of your brothers, like me; to him you shall listen;
Deu. 18:15(Acts 7:37)
God made covenant through Moses and promised to do a new one later and that happened through Jesus.
Moses took half of the blood and put it in basins, and half of the blood he sprinkled on the altar. He took the book of the covenant and read it in the hearing of the people, and they said, "All that Yahweh has spoken will we do, and be obedient." Moses took the blood, and sprinkled it on the people, and said, "Look, this is the blood of the covenant, which Yahweh has made with you concerning all these words."
For finding fault with them, he said, "Behold, the days come," says the Lord, "That I will make a new covenant with the house of Israel and with the house of Judah; Not according to the covenant that I made with their fathers, In the day that I took them by the hand to lead them out of the land of Egypt; For they didn't continue in my covenant, And I disregarded them," says the Lord. "For this is the covenant that I will make with the house of Israel. After those days," says the Lord; "I will put my laws into their mind, I will also write them on their heart. I will be to them a God, And they will be to me a people. They will not teach every man his fellow citizen, Every man his brother, saying, 'Know the Lord,' For all will know me, From the least of them to the greatest of them. For I will be merciful to their unrighteousness. I will remember their sins and lawless deeds no more."
Hebrews 8:8-12 (Jeremiah 31:31-34)
He took the cup, gave thanks, and gave to them, saying, "All of you drink it, for this is my blood of the new covenant, which is poured out for many for the remission of sins.
Both could be called Messiah, because both were anointed by God for the job. In addition to this, also David can be called Messiah and by what the Bible tells, God will raise him to be the king of Jews.
For the children of Israel shall abide many days without king, and without prince, and without sacrifice, and without sacred stone, and without ephod or idols. Afterward the children of Israel shall return, and seek Yahweh their God, and David their king, and shall come with trembling to Yahweh and to his blessings in the last days.
My servant David shall be king over them; and they all shall have one shepherd: they shall also walk in my ordinances, and observe my statutes, and do them. They shall dwell in the land that I have given to Jacob my servant, in which your fathers lived; and they shall dwell therein, they, and their children, and their children’s children, forever: and David my servant shall be their prince for ever.
Because of all this I think the question about the Messiah is more complex than what people want to see. Often it seems Jews and Christians see only half of the whole image, which then causes many problems.