You can cover it with burlap for a farmhouse look or if modern is your style you can use linen.
I've seen the old fabric stripped off and the frame draped with pearls. Here's a link with some other ideas:
Hi Brenda, here is a lamp shade I made over just using some fabric strips and a glue gun. Hope it gives you some ideas... https://www.recreateddesigns.com/2017/08/diy-lamp-shade-glue-fabric-paint/
Here are some ideas, I really like their decoupage one:
Here is info on your projects
Different Shapes need different methods. Buy or Borrow a Book on the subject, they are not expensive from the Craft store or maybe somewhere like eBay?
Here is a method if you are using fabric. https://www.hgtv.com/design/rooms/bedrooms/custom-fabric-covered-lampshade
Hi Brenda, here are a few ideas for you to try out,
Sprayed adhesive and replacement fabric might be an option to consider.
Hi Brenda: Here are some really neat sites that should help:
https://www.youtube.com/watch?v=SkrYoLPZGqY On the right, there are other ideas and sites to check out.
I have used spray adhesive and material. Another prion is to spray paint.
I've used wallpaper and of course spray paint!
They sell sheet of lampshade styrene on Amazon, it's fireproof and make for the job.
Hi! Self adhesive wallpaper looks great, to!
You could stencil a pattern on it
You could also try spray painting the lampshade.
These are different ways you can update a lampshade: https://www.bhg.com/decorating/do-it-yourself/accents/reinvent-a-lampshade/