Psalm 33:3 also calls to 'sing to him a new song,' identical phrasing and theme.

In Psalm 67:3-6, the call for all peoples to praise God mirrors the universal invitation in Psalm 96:1 to sing a new song.

Psalm 68:32 directly parallels the command: 'Sing to God, O kingdoms of the earth' — the same universal call to praise.

Psalm 98:1 begins with the same exhortation: 'Oh sing to the LORD a new song,' celebrating God's marvelous deeds.

Psalm 149:1 repeats the call to 'sing to the LORD a new song' in the assembly of the godly.

Psalm 9:11 also commands singing praises and telling God's deeds, echoing the same call to worship.

Psalm 47:6 repeats 'Sing praises' four times, a direct parallel to the imperative in Psalm 96:1 to sing to the Lord.

Psalm 66:1 begins 'Shout for joy to God, all the earth' — nearly identical in structure and universal scope to Psalm 96:1.

Psalm 66:4 echoes the same universal call: 'All the earth worships you; they sing praises to your name.'

Psalm 105:2 also commands singing praises and telling God's wonders, a parallel call to worship.

Psalm 95:1 similarly invites singing to the Lord, though without the 'new song' or 'all the earth' emphasis.

In Revelation 14:3, the 'new song' reappears as the song of the redeemed, echoing the call for all the earth to sing.

In Romans 15:11, Paul quotes a similar OT call for all peoples to praise, reinforcing the theme of universal worship.

1 Chronicles 16:23-33 is the same psalm, sung at the ark's arrival — a direct parallel text.

Isaiah 42:10 directly repeats 'Sing to the Lord a new song' and extends it to 'the end of the earth' — a clear parallel.

1 Chronicles 16:9 directly says 'Sing to him, sing praises to him' — a close parallel to the opening of Psalm 96:1.

Revelation 5:9 describes a new song sung in heaven, echoing the theme of singing a new song to the Lord.