Stabilizer for projects beyond basic sewing and machine embroidery
Freestanding lace and 3D embroidery rely entirely on water-soluble stabilizer as the base fabric itself, since the design is stitched with no fabric underneath and the stabilizer dissolves away to leave just the thread.
In-the-hoop projects (felt ornaments, zipper pouches, coasters, appliqué shapes made entirely inside the hoop) use stabilizer as structural backing so the piece holds its shape once cut out.
Quilting and patchwork sometimes use lightweight tearaway or fusible stabilizer behind foundation-pieced blocks or paper-piecing patterns for added stability while sewing precise seams.
Hand embroidery and cross-stitch benefit from stick-and-stitch or wash-away stabilizer printed with a pattern, so you can stitch directly over the lines and rinse them away after.
Hat and cap making uses buckram or heavy fusible stabilizer to give brims and crowns structure.
Bag and accessory making (totes, wallets, structured purses) often uses heavyweight fusible fleece or foam stabilizer to give the finished piece body and shape.
Appliqué, whether by hand or machine, commonly uses fusible web (a stabilizer-adhesive hybrid) to bond fabric pieces before stitching them down.
Punch needle and rug hooking use a stiff woven or monk's cloth-style base that functions the same way stabilizer does in embroidery — holding tension so the loops don't pull out.
So the underlying idea is the same across all of these: stabilizer gives a soft or loosely-woven material enough structure to be stitched, punched, or shaped without distorting.
Happy stitching!