I Have A Friend Who Likes ...
BANANA
DRESSER
GRAMMAR
POTATO

REVIVE
UNEVEN
ASSESS
SHAH

HANNA
SOLO

But Dislikes ...
APPLE
DRAWERS
ENGLISH
TOMATO

RESCUE
EVEN
ACCESS
KING

HANNAH
DUET

My friend likes words with the following characteristic:

If you remove the first letter, then the letters left are a palindrome.
For example, uneven--> neven which is the same forwards and backwards.

Or another way of thinking about it:
When the initial letter is removed and added to the end, the word reads the same as it did originally, but from right to left.
Eg, banana > ananab; potato > otatop; revive > eviver; dresser...