I haven't had an opportunity to discuss the requirements of the Messiah with a Jew, but off hand I would say that Jesus fulfilled all the requisite prophecies concerning him being the Messiah.
There are additional prophecies in the OT that aren't explicitly tied to the Messiah - such as the Judgement and the new heaven and new earth - which we learn Jesus will fulfill with his second coming.
There are also new prophecies introduced in the NT - such as the second coming of Christ.
Isaiah 65:17 “For behold, I create new heavens and a new earth;
And the former things will not be remembered or come to n]">[
n]mind.
Isaiah 66:22-24 “For just as the new heavens and the new earth
Which I make will endure before Me,” declares the Lord,
“So your offspring and your name will endure.
23 “And it shall be from new moon to new moon
And from sabbath to sabbath,
All m]">[
m]mankind will come to bow down before Me,” says the Lord.
24 “Then they will go forth and look
On the corpses of the men
Who have n]">[
n]transgressed against Me.
For their worm will not die
And their fire will not be quenched;
And they will be an abhorrence to all o]">[
o]mankind.”
Psalm 96:13 Before the Lord, for He is coming,
For He is coming to judge the earth.
He will judge the world in righteousness
And the peoples in His faithfulness.
Psalm 98:9 Before the Lord, for He is coming to judge the earth;
He will judge the world with righteousness
And the peoples with e]">[
e]equity.