Micah 5:2 prophesies the birthplace of the Messiah in Bethlehem, which is confirmed in Matthew 2:5-6 when the chief priests and scribes inform Herod of this prophecy, identifying Jesus as its fulfillment.
Micah 5:4 describes the ruler from Bethlehem as a shepherd who will lead His flock, which parallels Jesus' declaration in John 10:11 where He identifies Himself as the Good Shepherd.
Micah 5:5 speaks of the Messiah as the one who will bring peace. Ephesians 2:14 echoes this by describing Christ as our peace, who has broken down the dividing wall of hostility.
Micah 5:7 describes the remnant of Jacob as a blessing among the nations, similar to Zechariah 8:12, which speaks of the remnant being a source of blessing and prosperity.
Micah 5:10-15 speaks of God removing idolatry and reliance on military might, which is echoed in Zephaniah 1:4-6 where God declares judgment on idolatry and those who turn away from Him.