Here is a list with map pictures of all the non dlc quarantine zones. I found this helped me because I had most of them done, so I needed to see where the last one was and I didn't want to sift through a video. If you go to your quest log, look under completed challenges to see what ones you need. I would turn this into a checklist if TA had the capability, but you will have to use a felt pen on your monitor instead ;)
When you get close to the zone, it will indicate you are close and put a red symbol near the entrance.
edit: looks like the original images are gone, so here is another map I found that marks the quarantine zones(credit to gamepressure.com):
You can click a picture to make it bigger.
Be aware these maps also show challenge locations, I listed the quarantine zones below so you know what to look for.
Slums:
Grocery Store (Stuffed Turtle)
Bright Mountain Tunnel (S edge of map, between Rais and Central Power Station)
Underground Parking
Sunny Apartments
Chemical Storage
Old Town:
Parking Lot
Striped Dragon Hotel
New Antalya Apartments
PS: if the images break again, drop me a pm, and I will try and fix it.