An Anagram, as you know, is a word or phrase made by transposing or rearranging the letters of another word or phrase. The following are exceptionally clever. Someone out there either has way too much time to waste or is deadly at Scrabble.

This one's truly amazing:
To be or not to be: that is the question, whether tis noble rin the mind to suffer the slings and arrows of outrageous fortune."

And the Anagram:
"In one of the Bard's best-thought-of tragedies, our insistent hero, Hamlet, queries on two fronts about how life turns rotten."

And for the grand finale:
"That's one small step for a man, one giant leap for mankind."
Neil Armstrong

The Anagram:
"A thin man ran; makes a large stride, left planet, pins flag on moon! On to Mars!"

Nope, one more!
The following phrase is a perfect anagram to start the impeachment trial:
PRESIDENT CLINTON OF THE USA

It can be rearranged (with no letters left over, and using each letter only once) into:
TO COPULATE HE FINDS INTERNS