My drama teachers gave me specific instructions for what I needed for the play we're doing this year, Twelfth Night.

He wants it to be over-the-top dramatic, but it's my choice to make it funny. I googled for a while, but couldn't find exactly what I wanted. Any suggestions?
"We barely remember who or what came before this precious moment"

Tool, anyone?
Alter Bridge, maybe?
A bit of John Mayer?
Some beethoven sounds delightful, as well.
Chasing Amy. The whole Silent Bob speech.
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Chasing Amy. The whole Silent Bob speech.

This. Also watch Clerks, some of the Randall/Dante dialogue might inspire you.
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Watch any mel brooks movie.
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You could see if the movie Waynes World inspires you.. There are several mini speeches from Wayne that you could build off.

Also, the character Barney Stinson from How I Met Your Mother. (just an example: http://www.youtube.com/watch?v=ZkmheRE9zi4&feature=related)

and Dr. Cox from Scrubs as someone mentioned. (http://www.youtube.com/watch?v=t-b6GIo1g68)

In the comments of the first video you posted