Census 2010 ZIP code data are included in the Cen2010 Block Demographics and the Cen2010 Demographic Profile 1 datasets.
Specialized ZIP Code datasets:
ZIP Demographics by Congressional District
http://proximityone.com/zip-cd.htm.
ZIP Demographics by City/Place
http://proximityone.com/zip-place.htm.
ZIP Demographics by School District
http://proximityone.com/zip-sd.htm.