Elohim

Genesis 1:1 (ESV)
<blockquote>
<sup><b>1</b></sup>
In the beginning, God [Elohim] created the heavens and the earth.
</blockquote>

Pslam 19:1 (ESV)
<blockquote>
<sup><b>1 </b></sup>The heavens declare the glory of God, [Elohim]
   and the sky above proclaims his handiwork.
</blockquote>
The name "Elohim" means "God" and is a reference to God's power and might.


Adonai

Malachi  1:6 (ESV)
<blockquote>
<sup><b></b></sup>… And if I am a master, where is my fear? says the LORD of hosts [Adonai] to you, O priests…
</blockquote>
Adonai means "Lord" and refers to the Lordship of God.

Jehovah-Yahweh
Genesis 2:4 (ESV)
<blockquote>
<sup><b>4 </b></sup> These are the generations of the heavens and the earth when they were created,in the day that the LORD God [Jehovah-Yahweh] made the earth and the heavens.
</blockquote>
Refers to God's divine salvation.

Jehovah-Maccaddeshem
Exodus 31:13
<blockquote>
<sup><b>13</b></sup>"You are to speak to the people of Israel and say, 'Above all you shall keep my Sabbaths, for this is a sign between me and you throughout your generations, that you may know that I, the LORD, [Jehovah-Maccaddeshem] sanctify you.'"
</blockquote>
Means "The Lord thy sanctifier"

Jehovah-Rohi
Psalm 23:1 (ESV)
<blockquote>
<sup><b>1</b></sup>The LORD [Jehovah-Rohi] is my shepherd; I shall not want.
</blockquote>

Jehovah-Shammah
Ezekiel 48:35 (ESV)
<blockquote>
<sup><b>35</b></sup>The circumference of the city shall be 18,000 cubits. And the name of the city from that time on shall be, The LORD Is There. [Jehovah-Shammah]"
</blockquote>
Means "The Lord who is present"

Jehovah-Rapha
Exodus 15:26 (ESV)
<blockquote>
<sup><b></b></sup>"…I will put none of the diseases on you that I put on the Egyptians, for I am the LORD, your healer. [Jehovah-Rapha]"
</blockquote>
Means "The Lord our healer"

That's a start and I will add more.