I have the Kenmore 19110 sold by Sears. My sewing instructor said they are made by Janome but labeled as the Sears Kennore brand to sell in their stores. I got it on sale for $199 and it has got me through many sewing projects. I've done heavy vinyl on it, which it does but not as easily a more expensive machine. It got many good reviews on PatternReview.com which is a great place to look up reviews by brand/model. Sears also has a good return policy if you try it and don't like it.
Unfortunately I think Sears may be discontinuing their sewing machines because they got rid of them at my local Sears.