Here are a few of my favorite flowers made of fabric.
Burlap flower could also be called a burlap rose. Burlap was huge this year in regards to weddings and decoration. To make this flower, cut a long strip of burlap 2-3 feet in length, fold in half, press with hot iron and sew crease. Roll fabric into this shape and sew the bottom. You can also cover the bottom with felt to hide any imperfections.
This is the same type of fabric flower only in a sheer fabric.
My new favorite fabric flower is the denim jean flower. This flower is made by cutting tear drop shapes, creating different size circles, and stacking them on top of each other. This same method can be applied to paper flowers and wood flowers.