Home Heating Oil Assistance Act of 2008 - Amends the Internal Revenue Code to allow an individual taxpayer an income-based refundable tax credit for the lesser of 33% of such taxpayer's residential energy costs for a taxable year, or $500. Defines "residential energy costs" as amounts paid: (1) to any utility for electricity or natural gas used in the taxpayer's principal residence during the heating season (October through March); and (2) for any qualified fuel (e.g., propane, heating oil, kerosene, wood, and wood pellets) used as the primary fuel for heating the taxpayer's principal residence.