“Plaindromes” are ordinary sentences that sound as if they ought to be palindromes:

Money-man I, an Adam, not even a doom.
Stella, Otis deified Satan and Edna.
An item? No, revolt took Natasha.
Eggbert, a wry dross needs seating, tea-grams.
Droop: an old fan? Needles fone a poor ode.

“Ungrams” are invalid anagrams:

Richard M. Nixon / Noxious charmer
Brooklyn Bridge / Good ride by lake

Both were invented by Jef Raskin of Cupertino, California (from the August 2010 issue of Word Ways).