'People of Israel' in the Bible

But [rather] go to the lost sheep of the people of Israel.

"You people of Israel, listen to this message: Jesus from Nazareth was a man whom God [demonstrated] His approval of by powerful deeds, miracles and [supernatural] signs which He accomplished through Jesus in your very presence --- and you all know this!

we want you men and all the people of Israel to know that this man was made completely well through the name of Jesus Christ from Nazareth. [He is the One] whom you people put to death on the cross, but God raised from the dead.

For [truly] it was both Herod and Pontius Pilate, together with the Gentiles and the people of Israel, who gathered together in this city [of Jerusalem] against your Holy Servant Jesus

But God exalted Him at His right side to be a Prince and Savior and to give the people of Israel [an opportunity] to repent [i.e., change their hearts and lives] and [receive] forgiveness of [their] sins [through Him].

For God found fault with the Israelites [or, possibly with the first Agreement], saying [Jer. 31:31ff], "Look, the Lord says, the time will come when I will make a New Agreement with the people of Israel and with the people of Judah.

For this is the Agreement that I will make with the people of Israel in the coming days, says the Lord: I will put my laws into their minds, and I will also write them on their hearts. And I will be their God and they will be my people.