1. Father
2. God
3. El Shaddai - All mighty!
4. Elohim - Supreme
5. Yahwei - I Am
6. Jehovah - The Existing One
7. Abba - Daddy
8. Elyon -Most High
9. Elroi- The God who sees
10. Adonai- Lord
To me there are many ways to refer to the Father, only one to refer to the Son... And that is the name of Jesus.
Some people have listed more:
1. Almighty One
2. Alpha and Omega - Rev. 22:13
3. Advocate - 1 John 2:1
4. Author and Perfecter of Our Faith – Heb. 12:2
5. Authority – Matt. 28:18
6. Bread of Life – John 6:35
7. Beloved Son of God – Matt. 3:17
8. Bridegroom – Matt. 9:15
9. Chief Cornerstone – Ps. 118:22
10. Deliverer – 1 Thess.1:10
11. Faithful and True – Rev.19:11
12. Good Shepherd - John 10:11
13. Great High Priest – Heb. 4:14
14. Head of the Church – Eph. 1:22
15. Holy Servant – Acts 4:29-30
16. I Am – John 8:58
17. Immanuel – Is. 7:14
18. Indescribable Gift – 2 Cor. 9:15
19. Judge – Acts 10:42
20. King of Kings – Rev. 17:14
21. Lamb of God – John 1:29
22. Light of the World – John 8:12
23. Lion of the Tribe of Judah – Rev. 5:5
24. Lord of All – Phil. 2:9-11
25. Mediator – 1 Tim. 2:5
26. Messiah – John 1:41
27. Mighty One – Is. 60:16
28. One Who Sets Free – John 8:36
29. Our Hope – 1 Tim. 1:1
30. Peace – Eph. 2:14
31. Prophet – Mark 6:4
32. Redeemer – Job 19:25
33. Risen Lord – 1 Cor. 15:3-4
34. Rock – 1 Cor. 10:4
35. Sacrifice for Our Sins – 1 John 4:10
36. Savior – Luke 2:11
37. Son of Man – Luke 19:10
38. Son of the Most High – Luke 1:32
39. Supreme Creator Over All – 1 Cor. 1:16-17
40. Resurrection and the Life – John 11:25
41. The Door – John 10:9
42. The Way – John 14:6
43. The Word – John 1:1
44. True Vine - John 15:1
45. Truth – John 8:32
46. Victorious One – Rev. 3:21
47. – 50. Wonderful Counselor, Mighty God, Everlasting Father, Prince of Peace