Psalm 32:10 states that sorrows multiply for the wicked, directly paralleling the multiplied sorrows for idolaters in Psalm 16:4. Both contrast the fate of the wicked.

Psalm 97:7 says worshipers of images are put to shame, similar to the multiplied sorrows for those who run after other gods in Psalm 16:4. Both condemn idolatry.

Exodus 23:13 commands not to mention other gods' names, exactly matching the psalmist's vow to not take their names on his lips.

Joshua 23:7 warns against making mention of other gods' names, paralleling the psalmist's refusal to speak their names.

Isaiah 57:6 condemns pouring drink offerings to idols among smooth stones, directly paralleling the psalmist's rejection of drink offerings to other gods.

Jeremiah 7:18 explicitly describes pouring drink offerings to other gods, directly matching the idolatrous practice the psalmist avoids.

Hosea 2:17 says God will remove the names of Baals, directly echoing the psalmist's refusal to take false gods' names on his lips.

Jonah 2:8 says those who pay regard to vain idols forsake their hope of steadfast love, echoing the sorrows of idolaters in Psalm 16:4. Both warn against idolatry.

Revelation 14:9-11 describes eternal torment for worshipers of the beast, a New Testament parallel to the multiplied sorrows for idolaters in Psalm 16:4.

Numbers 32:38 describes renaming cities to remove Baal names, echoing the refusal to speak false gods' names in Psalm 16:4.

Deuteronomy 12:3 commands destroying the names of false gods, aligning with the psalmist's refusal to take their names on his lips.

Zechariah 13:2 promises God will cut off the names of idols, directly echoing the psalmist's refusal to speak them.

Isaiah 65:11 rebukes those who set tables for Fortune and pour mixed wine for Destiny, similar to the psalm's warning against running after other gods.

2 Kings 1:6 rebukes consulting Baal-zebub instead of God, paralleling the warning against running after other gods in Psalm 16:4.