Here's a small selection of the many palindromes out there:
A Danish custard? Drat such sin Ada!
A dog! A panic in a pagoda!
A Toyota
Abba
Ada
Aga
Ah, Satan sees Natasha
Aha
Anna
Avon sees nova
Bald elf fled lab
Bib
Bird rib
Bob
Boob
Borrow or rob?
Dad
Dammit I’m mad!
Damn! I Agassi miss again! Mad!
Del saw a sled
Deliver Eva, him I have reviled
Demand no maid a diamond named
Dennis sinned
Did
Dogma: I am God
Don’t nod
Draw nine men inward
Dud
Eke
Elle
Ere
ET is opposite
Eve
Evil olive
Ewe
Eye
Gag
Gig
Hah!
Hannah
Harass Sarah!
Huh?
I prefer pi
If I had a hi-fi
Kayak
Lol
Madam I’m Adam
Mam
Mirror rim
Mom
Mom’s Dad & Dad’s Mom!?!
Mum
Nan
Noon
Nun
Nurses run
Oxo
Party boobytrap
Pep
Pip
Pop
Pup
Racecar
Radar
Rar
Red lost solder
Red rum, sir, is murder
Redivider
Sis
Star sees rats
Straw warts
Tat
Ten animals I slam in a net
Tenet
Tit
Tot
Tut
Warsaw was raw
Won’t lovers revolt now?
Wow
Yay
Possibly the longest palindrome in the world can be found
here
Also posted in 'colours, shapes, numbers and letters'.
Palindromes
lol
& 
Linear Mode
