Local Officials Tax Relief Act of 2008 - Amends the Internal Revenue Code and Title II (Old Age, Survivors, and Disability Insurance) of the Social Security Act to exempt from social security taxes remuneration paid to any elected or appointed member of any general governing board, commission, or committee of any political subdivision of a state if such remuneration is not more than $1,300 and is paid for service performed on or after January 1, 2008.