1) As Surada said, Jesus did not fulfill the Messianic prophesis:
a) All Jews will be gathered in Israel - hasn’t happened yet
b) The Messiah will build (or accomplish) the 3rd Temple - nope, still waiting
c) There will be worldwide peace: “Nation shall not lift up sword against nation; neither shall man learn war anymore.” (From Isiah)
2) Jesus did not fulfill the personal attributes of the Messiah:
As Jews do not believe in Demi-gods or any Supreme Being other than the one and only G-d, the Messiah will be born of human parents - with a father descended from David. Since Christians say Jesus’ father was G-d, a concept foreign to Judaism, he of course does not fulfill this.
3) The Messiah will obey the Law, and lead the people to full Torah observance - as all commandments are binding forever. Jesus did not do this, and changed the law. He told Jews that kashrut was no longer necessary, and he violated the Sabbath.
4) Christians have mistranslated the “Suffering Servant” alluded to in the OT as Jesus, when it refers to Israel.
There’s more, but this is a start.
NOTE: I would like to have a respectful debate, and remind posters that this is Zone 1. Thank you.