H.R.6373: To amend the Internal Revenue Code of 1986 to allow individuals to establish Home Ownership Mortgage Expense Accounts (HOME Accounts) which may be used to purchase, remodel, or make mortgage payments on the principal residence of the taxpayer.

Responsible Investment for Home Ownership Act of 2008 - Amends the Internal Revenue Code to: (1) establish tax-exempt Home Ownership Mortgage Expense Accounts; (2) allow a tax deduction for contributions to such accounts; (3) allow tax-free distributions from such accounts for the financing or remodeling of a principal residence; and (4) set forth rules for such accounts relating to prohibited transactions, rollover contributions, and account termination. Prohibits illegal aliens making tax deductible contributions to such accounts.