The most remarkable addresses (*) found in the blockchain will be listed below.
1234mNnAPb8YnCsbacaNhB4BqwxB4U
4321 (2016-04-27: 8-character palindrome address - owner: xhomerx10)
1ANoNYMURccWEEGMoMTozTtjBj7CmtRZdb (2014-01-24: longest pronounceable prefix - owner: Nikinger)
Top one is not a palindrome, bottom one lacks enough vowels after "ANONYMUR"
Not precisely a palindrome but palindromic in nature if you take some liberties and consider the central text as a word divider

The difficulty of finding such an address makes it rare though and I'm still working on
12345amanapLanacanaLpanama54321
but I don't expect to be done any time this century unless I buy another Nvidia 970 or 2... X10
12