LDS Hymns (listen to the music, get sheet music, and read the lyrics here: http://www.lds.org/cm/display/0,17631,4650-1,00.html):

• All Creatures of Our God and King – #62 – This selection could not be included on lds.org because of copyright restrictions.
• Because I Have Been Given Much – #219 – This selection could not be included on lds.org because of copyright restrictions.
• Before Thee, Lord, I Bow My Head – #158
• Come, All Ye Saints Who Dwell on Earth – #65
• Come, Let Us Sing an Evening Hymn – #167
• Come, Ye Thankful People – #94
• Count Your Blessings – #241
• Father, This Hour Has Been One of Joy – #154
• Father, Thy Children to Thee Now Raise – #91
• For the Beauty of the Earth – #92
• For the Strength of the Hills – #35
• From Homes of Saints Glad Songs Arise – #297
• God of Our Fathers, We Come unto Thee – #76
• God of Our Fathers, Whose Almighty Hand – #78
• God's Daily Care – #306
• Hear Thou Our Hymn, O Lord – #222
• I Stand All Amazed – #193
• Now Thank We All Our God – #95
• Prayer of Thanksgiving – #93
• Raise Your Voices to the Lord – #61
• Rejoice, the Lord Is King! – #66
• Savior, Redeemer of My Soul – #112
• There Is Sunshine in My Soul Today – #227

LDS Children's Songbook (listen to the music, get sheet music, and read the lyrics here: http://www.lds.org/cm/display/0,17631,4766-1,00.html)

• A Song of Thanks – #20a
• Autumn Day – #247
• Beauty Everywhere – #232
• Can a Little Child like Me? – #9
• Family Prayer – #189
• Father, We Thank Thee for the Night – #8
• For Health and Strength (Round) – #21a
• For Thy Bounteous Blessings (Round) – #21b
• I Am Glad for Many Things – #151
• I Have Two Ears – #269
• I Love to Pray – #25b
• I Thank Thee, Dear Father – #7
• I Think the World Is Glorious – #230
• I'm Thankful to Be Me – #11
• My Heavenly Father Loves Me – #228
• Thank Thee, Father – #24
• Thank Thee for Everything – #10
• Thanks to Our Father – #20b
• Thanks to Thee – #6
• We Bow Our Heads – #25a

Spiritual experiences with hymns.  I've had a bunch, but usually it's just me finally noticing that the lyrics actually have meaning and apply to me.  Our YW music specialist had us learn "Dearest Children, God is Near You" before the YW broadcast and while she was teaching it she said that it was the song she used as a lullaby for her babies when they were little (they're all grown up now) and that to her it's a song that says everything she wishes her children would/could learn from her.  Then we sang it and it suddenly meant 10x more to me! 

There was another time during college when a girl in my ward was hit by a car in an accident and died.  They asked me to be part of a group that sang "Nearer, My God, to Thee" at the funeral and I found that suddenly that song was nearly impossible to sing without crying because I now had experience to understand it.  Same thing with "God Be With You Till We Meet Again" that we sang at the same funeral.  I'd always thought of it as a "see you next week at church" song, not a "we might not see each other until after we die, so I'm going to ask God to take care of you since I may not be around to do it myself" song.  Then, I was singing at this funeral where this girl's parents and siblings and friends were trying to have faith and remember the Plan of Salvation and not be bitter and angry about her dying and the music helped me believe and understand that God loves us, has a plan, and takes care of us even though sometimes bad things happen to good people.  Those hymns, along with "I Need Thee Every Hour" are a big part of my ability to have faith during hard times because they explain with music (which always helps explain things better) how utterly dependent I am on Heavenly Father for everything and that everything really will turn out okay in the end now matter how bad they seem right now because He will take care of me and those I love if we let Him.

"I Believe in Christ" is a hymn that helps me express my testimony.  When I sing it I really feel worshipful, and it helps me feel spiritual when it's sometimes hard to feel the Spirit as I wrestle with my kids during Sacrament Meeting. Maybe the Still Small Voice talks a little louder through music.