Plastic banning is not possible completely because plastic bags offer a cheaper and better way of carrying materials. The best thing which can be done to avoid the hazards from plastics is encouraging the proper disposal. Imagine even if all the plastics were banned and paper bags were in practise even then there would be a danger of clogging of drains by heaps of paper bags. If the plastic waste is managed well, it could reduce the proble,s related to plastic pollution.
One idea of disposal which comes to my mind is like big metal scraps (damaged cars, appliances, trucks,etc) are collected and compressed into small boxes, something similar could be done with plastics. Government/ private enterprise could start a system of cash in return for so and so kilogram of plastic that ways plastic scavanging could even provide a small income to the garbage collectors. Better plastic waste management could reduce the problem to a large extent.