Furnished Apartments For Rent In Olympia Wa . Choose from 6 furnished apartments for rent found in olympia, wa. Carriage style home wi $1,700 1br. Silver Leaf Residence 55+ Community Apartments For Rent in Olympia, WA from www.forrent.com With so much to see and do, residents of olympia are never bored. Renting an apartment in olympia will give you access to one of the most dynamic cities in the country. Official cheap furnished olympia apartments for rent from $400.