I put a bunch of them in a Spotify playlist in addition to typing all of the songs out. If it's not in the Spotify playlist, I couldn't find a decent version (sometimes the versions I did find were too cheesy to include). If you can find a decent version of any of those, I'll happily add them.
In cases where I didn't know the writer or artist (and I often didn't look very hard), I just put down the place I know it from.
Edit: I have subsequently added the '+' sign to songs I have found to be helpful in practicing a Psalm of the Day. William Law's recommendations are underlined.
A related post is New Testament Hymns.
Die Himmel erzählen die Ehre Gottes
20. We Trust In The Name Of The Lord, Steve Green
22. Death Of A Son, Michael Card
+ 23. My Shepherd, Michael Card
+ The King Of Love My Shepherd Is (hymn)
+ The Lord's My Shepherd, I'll Not Want (hymn)
+ 24. Lift up your heads, Handel
King Of Glory, Third Day
The King of Glory (me)
Lift Up Your Heads, Ye Mighty Gates (hymn)
25. My Hope Is You, Third Day
+ 27. There's One Thing I Ask Of The Lord, John Michael Talbot
30. Trading My Sorrows, Darrell Evans (just the title line)
32. You Are My Hiding Place (ETC)
34. I Will Bless The Lord At All Times, John Michael Talbot
+ O Magnify The Lord With Me (SpiritSong)
+ 36. Your Love, Oh Lord, Third Day
Herr, deine Güte reicht, soweit der Himmel ist ...
37. O rest in the Lord, Mendelssohn
+ 40. 40, U2 (including changes I made)
42. As The Deer (ETC)
46. A Mighty Fortress, Luther
+ Psalm 46, John Ness Beck (Wartburg Choir)
Psalm
+ 1. Psalm 1, Kim Hill
2. Why do the nations, Handel
While The Nations Rage, Rich Mullins
While The Nations Rage, Rich Mullins
3. Thou, O Lord, Art A Shield About Me (Forest Hill)
8. How Majestic Is Your Name, Sandi Patty
+ 9. Psalm 9 'I will sing praise to Your name, O Most High' (as sung by Grace Community Church, Winds of Worship vol. 2)
13. How Long, Michael Card
+ 18. I Will Call Upon The Lord (ETC)
+ 19. The heavens are telling the glory of God, Haydn
Their sound is gone out, HandelDie Himmel erzählen die Ehre Gottes
20. We Trust In The Name Of The Lord, Steve Green
22. Death Of A Son, Michael Card
+ 23. My Shepherd, Michael Card
+ The King Of Love My Shepherd Is (hymn)
+ The Lord's My Shepherd, I'll Not Want (hymn)
+ 24. Lift up your heads, Handel
King Of Glory, Third Day
The King of Glory (me)
Lift Up Your Heads, Ye Mighty Gates (hymn)
25. My Hope Is You, Third Day
+ 27. There's One Thing I Ask Of The Lord, John Michael Talbot
30. Trading My Sorrows, Darrell Evans (just the title line)
32. You Are My Hiding Place (ETC)
34. I Will Bless The Lord At All Times, John Michael Talbot
+ O Magnify The Lord With Me (SpiritSong)
+ 36. Your Love, Oh Lord, Third Day
Herr, deine Güte reicht, soweit der Himmel ist ...
37. O rest in the Lord, Mendelssohn
+ 40. 40, U2 (including changes I made)
42. As The Deer (ETC)
46. A Mighty Fortress, Luther
+ Psalm 46, John Ness Beck (Wartburg Choir)
Ein feste burg ist unser Gott (Wartburg Choir)
47. Clap Your Hands (Breakaway)
51. Create In Me A Clean Heart, Keith Green
Create In Me A Clean Heart, Mary Rice Hopkins
Create in me a clean heart, O God (Lutheran liturgy)
61. Lead Me To The Rock (Forest Hill)
63. Sometimes By Step, Rich Mullins (this is a little bit of a stretch)
+ 66. Make A Joyful Noise Unto God, Wartburg Choir
68. The Lord gave the word, Handel (only two verses)
69. Death Of A Son, Michael Card
73. God Is The Strength Of My Heart (Forest Hill)
84. Better Is One Day, Matt Redman
+ Even The Sparrow (me)
87. Born In Zion, Wayne Watson
90. O God Our Help In Ages Past (hymn)
92. Das ist ein köstlich ding
+ 95. Come, Let Us Sing With Joy To The Lord (Wartburg Choir)
Come Let Us Worship And Bow Down (Forest Hill)
+ 96. Sing a New Song, (Bencriscutto, Wartburg Choir)
47. Clap Your Hands (Breakaway)
51. Create In Me A Clean Heart, Keith Green
Create In Me A Clean Heart, Mary Rice Hopkins
Create in me a clean heart, O God (Lutheran liturgy)
61. Lead Me To The Rock (Forest Hill)
63. Sometimes By Step, Rich Mullins (this is a little bit of a stretch)
+ 66. Make A Joyful Noise Unto God, Wartburg Choir
68. The Lord gave the word, Handel (only two verses)
69. Death Of A Son, Michael Card
73. God Is The Strength Of My Heart (Forest Hill)
84. Better Is One Day, Matt Redman
+ Even The Sparrow (me)
87. Born In Zion, Wayne Watson
90. O God Our Help In Ages Past (hymn)
92. Das ist ein köstlich ding
+ 95. Come, Let Us Sing With Joy To The Lord (Wartburg Choir)
Come Let Us Worship And Bow Down (Forest Hill)
+ 96. Sing a New Song, (Bencriscutto, Wartburg Choir)
Cantate Domino (Swider, Wartburg Choir)
Singet Dem Herrn Ein Neues Lied (Wartburg Choir)
Chantez A Dieu Chanson Nouvelle (Wartburg Choir)
+ All that hath life and breath, Rene Clausen (Wartburg Choir) (The sheet music says Psalms 96 and 22.)
97. We Exalt Thee (ETC)
+ 100. All people that on earth do dwell (The Old Hundredth), arr. Ralph Vaughan Williams
+ Make A Joyful Noise Unto The Lord (ETC)
+ 103. Canon of Praise (Pachelbel/Hopson)
Singet Dem Herrn Ein Neues Lied (Wartburg Choir)
Chantez A Dieu Chanson Nouvelle (Wartburg Choir)
+ All that hath life and breath, Rene Clausen (Wartburg Choir) (The sheet music says Psalms 96 and 22.)
97. We Exalt Thee (ETC)
+ 100. All people that on earth do dwell (The Old Hundredth), arr. Ralph Vaughan Williams
+ Make A Joyful Noise Unto The Lord (ETC)
+ 103. Canon of Praise (Pachelbel/Hopson)
+ 10,000 Reasons (Bless the Lord), Matt Redman
Bless The Lord, Crouch (The Pittsburgh Project)
As The East Is From The West (The Pittsburgh Project? Forest Hill?)
+ 104. May The Glory Of The Lord Endure Forever (ETC)
+ 106. Blessed Be The Lord The God Of Israel (ETC)
111
Bless The Lord, Crouch (The Pittsburgh Project)
As The East Is From The West (The Pittsburgh Project? Forest Hill?)
+ 104. May The Glory Of The Lord Endure Forever (ETC)
+ 106. Blessed Be The Lord The God Of Israel (ETC)
111
+ 113. Sing Your Praise To The Lord (1996), Rich Mullins (From the rising of the sun...)
Blessed Be Your Name, Matt Redman
+ 115. Non nobis Domine, Patrick Doyle (sed nomini tuo da gloriam)
Not Unto Us (Urbana 03)
+ 117. Praise the Lord All Nations (me)
Blessed Be Your Name, Matt Redman
+ 115. Non nobis Domine, Patrick Doyle (sed nomini tuo da gloriam)
Not Unto Us (Urbana 03)
+ 117. Praise the Lord All Nations (me)
118. This Is The Day That The Lord Hath Made
119. Beati quorum via, Stanford (integra est qui ambulant in lege Domini)
Thy Word, Amy Grant
121. My Help, Michael Card
I Will Lift Up My Eyes, John Michael Talbot
122. I was glad when they said unto me, Parry
124. If The Lord Had Not Been On Our Side (Forest Hill)
125. Those Who Trust, Waterdeep
134. Behold, Bless The Lord (The Pittsburgh Project)
136. Your Love Endures Forever, Third Day
+ Forever, Chris Tomlin
Give Thanks (The Pittsburgh Project?)
137. By the Waters of Babylon
139. Search And Know Me, Michael Card
+ Nothing Is Beyond You, Rich Mullins (performed by Amy Grant)
141. Let my prayer rise up, Marty Haugen
146
119. Beati quorum via, Stanford (integra est qui ambulant in lege Domini)
Thy Word, Amy Grant
121. My Help, Michael Card
I Will Lift Up My Eyes, John Michael Talbot
122. I was glad when they said unto me, Parry
124. If The Lord Had Not Been On Our Side (Forest Hill)
125. Those Who Trust, Waterdeep
134. Behold, Bless The Lord (The Pittsburgh Project)
136. Your Love Endures Forever, Third Day
+ Forever, Chris Tomlin
Give Thanks (The Pittsburgh Project?)
137. By the Waters of Babylon
139. Search And Know Me, Michael Card
+ Nothing Is Beyond You, Rich Mullins (performed by Amy Grant)
141. Let my prayer rise up, Marty Haugen
146
147. Ad astra per aspera (Wartburg Choir - Sing unto the Lord...)
150. (Just the psalm itself)
150. (Just the psalm itself)
Let Everything That Has Breath, Matt Redman