Here are some youth songs from lds.org:

The Greatest Gift

He Knows Me Better

You Can Change
The Gift of Our Lives
I Will
All Times, All Things, All Places
Your Light
I Know He Lives
I Will Be Ready
What Heaven Sees in You
Shine On
Beautiful To Him
More
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Come, Thou Font of Every Blessing
Come, Listen to a Prophet's Voice
Arise to the Mountain (Music Only)
Arise to the Mountain
This is the Christ
Called To Serve
Choose The Right
We Thank Thee, Oh God, For a Prophet
How Firm a Foundation
Hope of Israel
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Arise
Be Strong and of Good Courage
Guardians of Virtue
Seeking What's Good
We Believe
We Believe in Christ
Priesthood Men
We Will Stand (a)
For the Strength of Youth
We Will Stand (b)
Light of a New Day
A Brand New Year
The Seed
We Thank Thee, Oh God, For a Prophet
As Zion's Youth in Latter Days
Thou Rock
Shine the Light
We Are Examples
All is Well
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Today
Drop by Drop
The Olive Tree
Come unto Him
I'll Trust in the Lord
For Our Day
Light and Truth
I Will Forgive
I Remember Thee
Strength Beyond My Own
Godly Sorrow
Walk His Way
My Holy House
Goin' Home
Our Father's Plan
Firm in the Faith
Emily
I Will Seek the Lord
One by One
The Whole Armor of God
Marriage for Eternity
Make You Whole
My Soul Hungered
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Nearer, My God, to Thee
Hope of Israel
Shout for Joy
Strong and Courageous
Walk Tall, You're a Daughter of God
In That Holy Place
Tender Mercies of the Lord
I Walk By Faith
Mary, Sweet and Tender Maiden
Little Baby
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WE WOULD LIKE TO HEAR FROM YOU ABOUT YOUR FAVORITE SONG