Rawhide is just that - the raw un-tanned hide. If you tan it, it becomes leather.
Other possible options:
Parchment - the traditional old stuff - usually made from raw sheep skin
Or use some as a cover for an old fashioned parchment book
(check out a book on early book/paper making to see how this was done)
Sew it up into a knife/axe sheath, wet it, and "mold" it around your knife/axe for a very close and tough fit
Window pane - allows in some light, but keeps out the weather
Lacing for a "caned" chair seat - much like lacing up traditional snowshoes
I also stitched a sheet of deer rawhide around the seat of a chair instead of weaving a seat from reed, hickory bark, or oak strips. It actually looks and works pretty good, but don't stretch it too tight when sewing it on as it will shrink while drying.
Stitch/sew/lace it around a light wood or cardboard box to make it stronger and more water resistant - like a cigar box.
Ditto around a goard or a glass bottle - to more safely carry it.
Just a few more humble ideas to consider.
Mikey - that grumpy ol' blacksmith out in the Hinterlands
(who's done all of the above plus many more things with rawhide)