Apartments For Rent Tampa Fl 33614 . 20 apartments for rent in tampa, fl 33614. Each apartments.com listing has verified availability, rental rates, photos, floor plans and more. The Aurora Stylish & Luxury Apartments for Rent in Downtown Tampa FL from www.richmansignature.com Don't forget to use the filters and set up a saved search. Use our detailed filters to find the perfect place, then get in touch with the property manager. Find your next cheap, affordable apartment in 33614 on zillow.