How many different Hebrew words are there for God?

There is a Jewish tradition that there are 72 names for God, however the "names" on this list aren't actual names. They are based on tradition and numerology.

Here is a list of some of the actual Hebrew names and and titles for God in no particular order (if you can think of some more, add them in another answer):

1. YHVH (יהוה) = God's one true unpronounceable name
   
2. Hashem (ה׳) = a substitute Word for God's name, used when not praying
3. Yah (יה) = equivalent to Gosh
4. Adonai (אדוני, יי) = Lord, used to substitute for God's unpronounceable name in prayers
5. Adoshem (ה׳) = Lord, used to substitute for God's unpronounceable name when not praying
6. El (אל) = God or god
7. Eloah (אלוה) = God (related to the Arabic Word Allah)
8. Elohim (אלהים) = God (related to the Arabic Word Allah)
9. Elokim (אלוקים) = God, used when not praying
10. Elohei Avraham (אלהי אברהם) = God of Abraham
11. Elohei Avoteinu (אלהי אבותינו) = God of our Ancestors
12. Elohei Yisra'el (אלהי ישראל) = God of Israel
13. El Shaddai (אל שדי) = usually translated as God Almighty, but the true meaning is unclear
14. El Ro'i (אל רואי) = God of seeing
15. El Elyon (אל עליון) = Uppermost God
16. El Rachum (אל רחום) = God of Mercy
17. Shechina (שכינה) = God's presence
18. Moshia (מושיע) = Savior
19. Matsilenu (מצילנו) = Our helper
20. Go'el (גואל) Redeemer
21. Hakadosh Baruch Hu = The Holy One Blessed Be He
22. ha-Makom (המקום) = Place
23. ha-Marom (המרום) = High place
24. ha-Rachaman (הרחמן) = The Merciful One
25. ha-Boreh (הבורא) = The Creator
26. ha-Norah (הנוראֽ) = The Awesome One
27. Shamayim (שמיים) = Skies
    
28. Elyon (עליון) = Uppermost
29. Malkenu (מלכנו) = Our King
30. Avinu Malkenu (אבינו מלכנו) = Our Father Our King
31. Shomrenu (שומרנו) = Our Guardian
32. Mechayeh Metim (מחיה מתים) = Lifegiver of the Dead
33. Somech Noflim (סומך נופלים) = Supporter of the Fallen
34. Rofeh Cholim (רופא חולים) = Healer of the Sick
35. Matir Asurim (מתיר אסורים) = Freer of the Captive
36. Ba'al Gevurot (בעל גבורות) = Master of Deeds
37. Rotseh Bitshuvah (רוצה בתשובה) = The One Who Desires us to Return (Literally "Wanter of Return")
38. Adon Olam (אדון עלום) = Lord of the Universe
39. Ribono ha-Olam (ריבונו העולם) = Master of the Universe
40. Dayan ha-Emet (דיין האמת) = The True Judge
41. Oseh Shalom (עושה שולם) = Maker of Peace
42. Ohev Amo Yisra'el (אוהב עמו ישראל) = The One who Loves Israel
43. Ehyeh Asher Ehyeh (אהיה אשר אהיה) = I am who I am
44. Yotser Or (יוצר אור) = Fashioner of Light