It's the same in Australia.In my country (most countries in Europe) you have to pay for plastic bags for your shoppings. Almost everyone brings their own bag(s) since. Shops who sell luxury goods often pack in free paper bags.
But the shop owners are allowed to give away (thin) single use plastic bags for fresh groceries like fruit, vegetables and meat.
The grocery store where I buy for home delivery’s uses plastic crates and bags with a deposit system.
For most plastic bottles and tins for beverages we have a deposit/recycling system.
Plastic straws and some other single use products are forbidden.
Tax