Rearranging the letters of 'Neil Armstrong' gives:
Strong, manlier.
(by Joe Fathallah) (2003)
Altering norms.
(by Mike Mesterton-Gibbons by hand) (2002)
No girl star men!
(by Mike Mesterton-Gibbons by hand) (2002)
Mr. Strong Alien
(by Lee Mendham by hand) (2000)
El Morning Star.
(by Josh Garey by hand) (2012) (pending approval)
Other related anagrams without their own page:
"The former astronaut Neil Alden Armstrong" -> "Great elder. Lunar star. First man on the moon!" (by Tony Crafter using Anagram Genius) (2008) (pending approval)
"Astronaut Neil Armstrong" -> "Man to start lunar regions." (by Mike Mesterton-Gibbons by hand) (2012) (pending approval)