Here are some nice crocheted options. All photos are borrowed from the links in the captions, which will also take you to the Ravelry page for the pattern. Most of these are freebies, too!
|Hemp Produce Drawstring Bag|
|French Market Bag|
|Weightless Produce Bag (Also a 2.0 version)|
|Reusable Produce Bag (with multiple sizes)|