What bags are used as alternate to plastic bags?

Only Cotton, Jute and Compostable/Biodegradable bags are real eco-friendly alternate to plastic bags. Sometimes jute bags are also laminated inside with plastic. They are not really green bags. Non-woven bags (looking like cloth bags) are extensively used as alternate to plastic bags. Actually they are plastic, having 98.3% polypropylene and not biodegradable. Even the places where plastic is banned, these Non-woven bags are used.