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.

Dormitory	Dirty Room
Evangelist	Evil's Agent
Desperation	A Rope Ends It
The Morse Code	Here Come Dots
Slot Machines	Cash Lost in 'em
Animosity	Is No Amity
Mother-in-law	Woman Hitler
Snooze Alarms	Alas! No More Z's
Alec Guinness	Genuine Class
Semolina	Is No Meal
The Public Art Galleries	Large Picture Halls, I Bet
A Decimal Point	I'm a Dot in Place
The Earthquakes	That Queer Shake
Eleven plus two	Twelve plus one
Contradiction	Accord not in it

This one's truly amazing:

To be or not to be: that is the question, whether tis nobler in 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 man, one giant leap for mankind." -- Neil Armstrong

The Anagram:

"Thin man ran; makes a large stride, left planet, pins flag on moon! On to Mars!"