It looks like there are only 14 states that charge some sort of sales tax on basic food.
Five charge the full sales tax rate on basic food: Alabama, Kansas, Mississippi, Oklahoma and South Dakota
Six charge a reduced state sales tax rate on basic food: Arkansas, Illinois, Missouri, Tennessee, Utah and Virginia
Three others don't charge state sales tax on basic food... but allow local sales tax on basic food: Georgia, Louisianna and North Carolina
Only four states charge any sort of tax on prescription drugs: Delaware, Illinois (greatly reduced), New Hampshire and Oregon.
All data from a Federation of Tax Administrators PDF.