Brueggemann on Psalms.

Walter Brueggemann  suggests another helpful way to categorize the Psalms.

 Orientation:

o      Creation - in which we consider the world and our place in it

o      Torah - in which we consider the importance of God's revealed will

o      Wisdom - in which we consider the importance of living well

o      Narrative - in which we consider our past and its influence on our present

o      Psalms of Trust - in which we express our trust in God's care and goodness

q        Disorientation:

o      Lament - in which we/I express anger, frustration, confusion about God's (seeming?) absence

§       Communal

§       Individual

o      Penitential - in which we/I express regret and sorrow over wrongs we have done

§       Communal

§       Individual

q        Reorientation

o      Thanksgiving - in which we thank God for what God has done for us/me

§       Communal

§       Individual

o      Hymns of Praise - in which we praise God for who God is

o      Zion Psalms- in which we praise God for our home

o      Royal Psalms - in which we consider the role of political leadership

o      Covenant Renewal - in which we renew our relationship with God

                                          -Bruggeman, source Click here.

For more detail, see this  PDF

Someone suggests this breakdown:

PSALM SUGGESTIONS
Psalms of Orientation	Psalm 1	Psalm 111
These psalms reflect a confident	Psalm 8	Psalm 112
belief that the world is well	Psalm 14	Psalm 119
ordered, reliable, and life-	Psalm 33	Psalm 131
giving to the person of faith.	Psalm 37	Psalm 133
	Psalm 104	Psalm 145
Psalms of Disorientation	Psalm 13	Psalm 79
These Psalms reflect the	Psalm 22	Psalm 81
brokenness of life when it is no	Psalm 32	Psalm 86
longer orderly but savage.	Psalm 35	Psalm 88
Spoken out of the depths,	Psalm 50	Psalm 130
they are still bold acts of	Psalm 51	Psalm 137
faith.	Psalm 73	Psalm 143
	Psalm 74
Psalms of New Orientation	Psalm 23	Psalm 100
The pit is not the end of life;	Psalm 27	Psalm 103
There is more. New orientation	Psalm 30	Psalm 113
Psalms reflect the surprise of	Psalm 34	Psalm 117
New possibilities that are	Psalm 40	Psalm 124
Experienced as pure gift from	Psalm 65	Psalm 135
God. They are full of thanks.	Psalm 66	Psalm 138
	Psalm 91	Psalm 150  link

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Psalmist's Cry: Scripts for Embracing Lament from The House Studio on Vimeo.

Dr. Walter Brueggemann Part 2 "The Counterworld of the Psalms" from The Episcopal Diocese of Texas on Vimeo.

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see also:
Brueggemann vids: "Practicing Neighborhood Amid Empire"/"The Counterworld of the Psalms"