Here's a selection of fabrics that would make it into my basket if I was fabric shopping with the Annie skirt in mind!
These fabrics are all from Minerva Crafts - this is not an affiliate link but they've kindly given permission for us to feature their fabrics.
5. Heavy triple crepe - Minerva Crafts (other colours available)
(Disclaimer: I haven't seen physical samples of these fabrics, but then that's how I do my fabric shopping! Minerva Crafts rarely disappoints, and they even offer a refund on cut fabric orders, so I always order with confidence!)