Aside from the few pictures I've posted, I had help on the other locations. The Worldwide Guide to Movie Locations and Herve Attia's blog can be considered definitive sources on the subject.
2800 E Observatory Ave, Los Angeles, CA 90027
14329 Victory Boulevard, Van Nuys, CA 91401
Carrow's Restaurant - 815 S Fremont Ave, South Pasadena, CA 91030
Reese Arrives in 1984
Alley just East of 6th & Broadway, Downtown L.A.
718 S Hill St, Los Angeles, CA 90014 (now JPB jewelry)
Car Chase (interior)
Dept Water & Power Parking Garage - 111 N Hope St, Los Angeles, CA, 90012
7301 Santa Fe Ave, Huntington Park, CA 90255
2nd St Tunnel (between Hill and Figueroa in Downtown, L.A.)
Showdown in the factory
Kern's of California - 13010 East Temple Ave, La Puente, CA 91746