I enjoy doing raw edge fusible applique because it is quick and I like the added texture and interest decorative stitching adds to the applique. There are lots of Youtube videos that can explain the technique, but here is a simple video that does a good job of covering the basics! Have fun playing with scrap fabric, cutting out shapes and practicing machine stitching the edges. There are many types of fusible that work well. I like to use Steam A Seam LITE because it does not gum up my needle when sewing. Wonder Under is also a recommended brand of fusible.

http://www.youtube.com/watch?v=BwcaC2dnuLo