I don't know if this is really considered a classic "hymn", but I also don't really know the definition of "hymn", but its my favorite song...
In Christ alone~My hope is found
He is my light, my strength, my song
This corner stone~This solid ground
Firm through the fiercest drought and storm
What heights of love~What depths of peace
when fields are stilled~ When strivings cease
My comforter~My all in all
Here in the love of Christ I stand
In Christ alone~ Who took on flesh
Fullness of God in helpless babe
This gift of love~And righteousness
Scorned by the ones he came to save
'Til on that cross~ As Jesus died
The wrath of God, was satisfied
For every sin~ On him was laid
Here in the death of Christ, I live
There in the ground~ His body lay
Light of the world by darkness slain
Then bursting forth~ In glorious day
Up from the grave he rose again
And as he stands~In victory
Sins curse has lost its grip on me
For I am his~ And he is mine
Bought with the precious blood of Christ
No guilt in life~ No fear in death
This is the power of Christ in me
From life's first cry~ To final breath
Jesus commands my destiny
No power of hell~ No scheme of man
Can ever pluck me from his hand
'Til he returns~ Or calls me home
Here in the power of Christ I'll stand