Isaiah 4:2 speaks of 'the Branch of the Lord' being beautiful and glorious, which is a messianic title also used in Jeremiah 23:5 to describe a righteous Branch from David's line who will reign as king.
Isaiah 4:3 describes those who are left in Zion as holy, similar to Revelation 21:27, which speaks of the New Jerusalem where nothing unclean will enter, only those written in the Lamb's book of life.
Isaiah 4:4 speaks of the Lord washing away the filth of the daughters of Zion, which parallels Malachi 3:2-3 where the Lord is described as a refiner and purifier of silver, purifying the sons of Levi.
Isaiah 4:5 describes the Lord creating a cloud by day and a flaming fire by night over Mount Zion, reminiscent of Exodus 13:21 where the Lord led Israel with a pillar of cloud by day and a pillar of fire by night.
Isaiah 4:6 speaks of a shelter and refuge from storm and rain, which is echoed in Psalm 91:1 where those who dwell in the shelter of the Most High will rest in the shadow of the Almighty.