Arizona offers several cities where retirees have a good chance of homeownership, with Gilbert ranking as the most attainable due to a 74% homeownership rate, median home price of $467,200, and mortgage payments at 21% of median income. Other cities like Chandler, Scottsdale, Mesa, Glendale, Phoenix, and Tucson also vary in affordability, with Tucson being the least attainable. Arizona's tax benefits, including no tax on Social Security income, further support retirees.