If you make pillow cases, a serger is ideal. When I was making them with my DSM, I would do French seams to hide the raw edges. With a serger, they are automatically hidden.
To make quick polar fleece throws, you can take one or two layers and serge all the way around. The serger trims off the selvages at the same time it is sewing and I use contrasting threads for a decorative touch.
I have read, though I haven't tried, serging the edges of a quilt before putting on the binding.