Do you know how accurate that is? Every time I've seen census zip code data it comes with a big disclaimer that its only accurate as of the last census. The USPS changes zip codes at will.
TIGER is the Census geo data set. This is "zip code tabulation areas," not strict zip codes. The Census does update its maps more frequently than every 10 years though.
My zip code isn't in there, and neither is one from a nearby city.
They are not very accurate if you are trying to map addresses to zip codes, for example. The data is compiled based on Census tracts. For each census tract, it tells you the most common zip code in that tract.