The first listed is the famous one that Jesus quoted while on the cross.  The second is one of my favorites for difficult times.  The rest are in chronological order.

Psalm 22 – Plea for Deliverance from Suffering and Hostility

Psalm 13 -  Prayer for Deliverance from Enemies

Psalm 3 – Trust in God Under Adversity

Psalm 4 – Confident Plea for Deliverance from Enemies

Psalm 5 – Trust in God for Deliverance from Enemies

Psalm 7 – Plea for Help against Persecutors

Psalm 10 – Prayer for Deliverance from Enemies

Psalm 12 – Plea for Help in Evil Times

Psalm 17 – Prayer for Deliverance from Persecutors

Psalm 35 – Prayer for Deliverance from Enemies

Psalm 42 – Longing for God and God’s Help

Psalm 43 – Prayer to God in Times of Trouble

Psalm 59 – Prayer for Deliverance from Enemies

Psalm 64 – Prayer for Protection from Enemies

Psalm 69 – Prayer for Deliverance

Psalm 70 – Prayer for Deliverance from Enemies

Psalm 71 – Prayer for Lifelong Protection and Help

Psalm 88 – Prayer for Help in Despondency

Psalm 102 – Prayer to the Eternal King for Help

Psalm 120 – Prayer for Deliverance from Slanderers

Psalm 130 – Waiting for Divine Redemption

Psalm 140 – Prayer for Deliverance from Enemies

Psalm 141 – Prayer for Preservation from Evil

Psalm 142 – Prayer for Deliverance from Persecutors

Psalm 143 – Prayer for Deliverance from Enemies