Many places have mandatory deposits on them, ranging from ineffective (California - you pay 5 or 10 cents but there is no practical way to redeem it so it's just an extra tax and there's no extra incentive to dispose of it properly) to very effective (Germany, 25 Eurocents, IIRC any shop that sells drinks in PET bottles has to accept returns of PET bottles).

The German system has interesting side effects: If you litter, a homeless person will soon pick it up, making this double as an additional social system with a built-in needs test. However, a downside is that if you know you won't be returning it, it's actually cheaper to buy and trash a reusable bottle because the deposit on a reusable beer bottle is 8 cents, vs. 25 cents on a can. The production cost for the bottle is around 35 cents I think.

The deposit was introduced as a punitive measure for the industry for failing to keep the percentage of drinks sold in reusable bottles high enough. As soon as the barrier was broken and the threat/incentive gone, glass bottles almost disappeared for anything except beer (and maybe some mineral water).

Even with one of the main benefits (easy disposal) removed - since you can't crush the bottles before returning them and have to drag them back to a store - they are much more popular than glass because unless you go shopping with a car (uncommon in cities in Germany), having to carry twice as much weight (and then drag the heavy packaging back) matters.