My family are not churchgoers, so if I were to predecease them, the hymns I would want sung would be songs that would speak to the faith that I was baptized into, worshipped in and tried to live in.
I have definitely chosen my closing hymn-Go My Children, With My Blessing. It talks about being joined to Christ in Baptism (In My love's baptismal river I have made you Mine forever), being nutured by His word and supper (Here you heard my dear Son's story, here you touched Him, saw His glory), and confession of the Trinity. It closes with a final benediction, a final promise of God's favour.
Beyond that, I'm still looking for hymns that would be meaningful to me. My Confirmation hymn was "We Were Baptized in Christ Jesus". I would probably like that one sung. If I live long enough, the song I Was There to Hear Your Borning Cry would be a good one.
I've recently been to a number of funerals, and some of the songs I've heard there that I've considered putting in my own plans include I Know That My Redeemer Lives, For All the Saints Who From Their Labours Rest and Jesus Christ is Risen Today.
At the funeral of Cnst. Peter Schiemann, an RCMP officer killed in the line of duty 6 weeks ago, the hymn All Praise to Thee, My God, This Night was sung. It had been the lullaby his parents had sung to him every night during his childhood. In the days after the funeral, I heard repeated mention of the hymn, especially stanza 3: "Teach me to live that I may dread/The grave as little as my bed/Teach me to die that I may/Rise glorious at the awe-some day. " Even the secular news media was talking about the text of that stanza.