Oak Ridge Apartments for rent in Austin, TX on ForRent.com: (866) 279-1354 - Availability, pricing and special promotions subject to change daily. Oak Ridge Apartments in Austin, TX offers pet-friendly one and two bedroom apartments for rent. It is conveniently located near shopping, dining and the MoPac Expressway. Apartment amenities include custom cabinets, built-in bookshelves*, and walk-in closets. The Oak Ridge Apartments property has a billiards room, pool sauna with clubhouse, and lighted tennis courts.