This is the list from Mom's in Touch http://www.momsintouch.org/newdesign/corner.htm. They list 31 characteristics to pray for our children.
1. Reverence
Living in reverent fear of God
1 Peter 1:17
2. Humility
Humble, gentle and patient with others
Ephesians 4:2
3. Purity
No immorality, impurity, greed or coarse talk
Ephesians 5:3-4
4. Determination
A fixed gaze, not sidetracked
Proverbs 4:25-27
5. Self-discipline
Training the body to do what it should
I Corinthians 9:24-27
6. Wisdom
Spiritual wisdom & understanding, knowledge of God
Colossians 1:9-10
7. Courage
No spirit of fear, unashamed of the gospel
2 Timothy 1:7-8
8. Diligence
Working hard as unto God
Colossians 3:23
9. Servanthood
Serving others in love
Galatians 5:13
10.Selflessness
Unselfishly regarding the needs of others
Philippians 2:3-4
11. Obedience
Obeying and honoring parents
Ephesians 6:1-2
12. Discernment
Not deceived with empty philosophy
Colossians 2:8
13. Compassion
Clothed with mercy, kindness and gentleness
Colossians3:12
14. Thankfulness
Giving thanks no matter what
1 Thessalonians 5:18
15. Maturity
Growing in faith & moral excellence, becoming fruitful
2 Peter 1:5-8
16. Holiness
Spiritually renewed, displaying God's holy nature
Ephesians 4:23-24
17. Strength
Strong in the Lord and the power of His might
Ephesians 6:10
18. Godliness
Fleeing evil and pursuing a godly life
1 Timothy 6:11
19. Confidence
Ability to do all things in Christ's strength
Philippians 4:13
20. Integrity
Honoring the godly, keeping promises, refusing bribes
Psalm 15:4-5
21. Prayerfulness
Not anxious but praying about everything
Philippians 4:6-7
22. Trust
Trusting in God alone, not dependent on self
Proverbs 3:4-6
23. Perseverance
Joyfully encountering trials, growing in character
James 1:2-4
24. Respect
Submission to authority, respect for everyone
1 Peter 2:13-14, 17
25. Teachability
Committed to instruction; ears attuned to knowledge
Proverbs 23:12
26. Truthfulness
Laying aside all falsehood, speaking the truth
Ephesians 4:25
27. Self-Control
Slow to speak and to become angry
James 1:19
28. Love
Having sincere affection, delighting in honoring others
Romans 12:9-10
29. Responsibility
Acknowledging a personal accountability to God
Romans 14:12
30. Generosity
Sharing with those in need
Hebrews 13:16
31. Forgiveness
Being tenderhearted; forgiving as God has forgiven
Ephesians 4:32