My cheap little brother also had a quilting stitch. I found it too slow though so didn't ever use it much.
Originally Posted by Tink's Mom
There are a couple of machines that do a "quilting stitch" I know that the high end Singer computerized machines did...aka XL-1000, XL-6000, 9240 etc...I think the high end Vikings, too.
You can replicate the sashiko by having invisable thread in the top threading and regular thread in the bobbin.