Just the fact that you own a house is not reported.  You may list property taxes that you pay as an itemized deduction, even if you don't also pay deductible mortgage interest.  Certain energy saving improvements may qualify for tax credits.  

You don't "have" to enter anything on your tax return concerning a primary residence you own free and clear. However, you "may" want to claim as a deduction any property taxes you pay. Property taxes will be a SCH A itemized deduction. So it may not make any difference on your tax liability. Until the total of all of your itemized SCH A deductions exceed your standard deduction, those itemized deductions have no impact on your tax liability.

With the tax law changes of 2018, it's estimated than less than 10% of tax filers will benefit from itemizing their deductions.

Thank you all!