I don't like the plastic bags for environmental reasons, the fact that they're petroleum based, and because they spill all over my truck on the way home from the store. The reuseable bags are more than I am willing to bother with or waste energy on and there's just too much risk of food contamination.
I ask for paper bags, which don't jumble up my groceries or fall over going around a corner, and then reuse them for sorting the stuff I recycle, add them to the compost pile, use them to start lasagna gardens, take them to the food pantry for use by those who need food, just plain recycle them, make patterns for quilts, or any number of other things. I have no plans at all to change.