Apartments For Rent Addison Il . 5942 w addison st has rental units starting at $1795. We found exactly 8 apartments for rent in the 60101 zip code of chicago metro, il. 838 W College Blvd, Addison, IL 60101 Apartments Addison, IL from www.apartments.com 621 east armitage avenue, addison, il 60101. 125 s villa ave, addison, il 60101. 571 apartments rental listings are currently available.