A flat and (usually) narrow woven braid trim in a regular wavy shape is called ric-rac. Sometimes you’ll see it spelled rick-rack.
It was very popular in the 1970s and is associated with pioneer and Western wear. It still turns up on some children’s clothes and kitschy home items. It’s available in a huge variety of widths and colors. It can be stitched down or glued, depending on the project.
I suspect there are a few anime characters bedecked with ric-rac, although I couldn’t name any.
Ric-rac is usually a polyester blend and reasonably washable, but always check the label when buying.