As far as I know, there are no "Free Map Tiling provider"-s. This project aims to be exactly one. You can use it with Leaflet using the https://github.com/maplibre/maplibre-gl-leaflet plugin.
I asked the question as a top level comment but also duplicating here. Isn't Apache Baremaps a "free map tiling provider"? Or do I misunderstand what a tiling provider is?