The banded cotton bath mats are what I have used for oh decades in my bathroom. In recent years I've found these a bit harder to find. Last week my husband told me "ok, we can afford a new bath mat" because our old one was coming apart at the edges.
Well off I rushed to Amazon to see what I could find. I just stumbled on this brand and am SO THRILLED by them. They are a bit plusher than what I had before which is a huge plus, because the extra thickness will absorb more water especially when showers are being taken back-to-back. Yet they are not think like a floor rug and they are not inflexible and hard to wash like the memory foam bath mats (which were so think that you could not open the door if they were in the way).
These ones are a perfect thickness! And they feel great underfoot. Yet they are a like a towel and dry great when I hang them up over the top of the shower enclosure.