The Slovak company Novesta makes some: https://www.gonovesta.com/en/vegan-shoes Star Master / Dribble and a couple of other models are also made just from cotton, caoutchouc (so plastic-free except for the insole which is recycled rubber). Leather, rubber and synthetic material shoes are also available if you prefer that. Personally, I own a pair of Star Masters and they are pretty nice, although for my next purchase, I would choose shoes that are less flat. Also important to note: after 2 years, the heel counter is getting worn out from the inside.

Do they not licence their brand name to other companies?