I really enjoy EPP, English Paper Piecing. It is a patchwork method where you use small paper shapes as a base to baste your fabric around, and then you whipstitch the shapes together. Once a piece is sewn on all sides, the paper shape can be removed (and often reused a few times). It is all done by hand, and it is very easy to get nice even shapes (as long as your paper pieces are all nice and even).
Both of these projects are made with hexagons, the pillowcase has hexies where each side is 2 cm, the purse has hexies with 1 cm sides. Both are made from scrap fabric, another reason I love EPP, it is an easy way to use up small fabric scraps. And because you don't need to iron much while sewing, only right after basting and once everything is sewn together, it is also very portable. I just need to trow my hexies, needles, thread and thimble in a little tin and I am ready to go.
Oh, also a picture of the pillowcase in use:









