I have to disagree with ckcowl on the batik statement. In my experience, batiks are the best possible fabrics to fuse since the tight weave practically guarantees no fraying of the edges. All fusibles require pre-washing the fabrics in order to adhere properly.
I use Wonder Under (Pellon 805) after having tried Heat'n'Bond and Steam-a-Seam regular and lite, and have never had any problems at all with it. I do fabric collage art quilts and can still hand embroider through 6 layers of fabric and 5 layers of Wonder Under without any strain.
If you want to go with a paperless web, try MistyFuse. It's the lightest weight fusible currently available.