Here's a proper high-quality toiletry bag you can trust to carry your serious hygiene kit. Used by the Dutch armed forces.

Toiletry bags were originally designed for men who served in the US Army during WWII and later became common among the whole civilian population. They are perfect for carrying hygiene and cosmetic products that you want to have readily available and separated from the rest of your stuff e.g. in a backpack or suitcase. Some people use these as tool bags with great success.

This Dutch model is rather simple and has the basic features you would expect from a bag like this: flip-open construction, hanging hook, zippered pockets, and mesh compartments.

Dutch surplus

The bags are used. While these are externally very good-looking, some may have signs of toothpaste and other substance leaks on the inside. Nothing you couldn't easily wash off.