"This service is completely free and run because a service like it should exist."
"All public repositories":
https://chiselapp.com/repositories/
I don't know if it has all the GitHub features people may be looking for.
Chisel runs on Flint, "The ISC licensed codebase behind http://chiselapp.com.":
https://chiselapp.com/user/rkeene/repository/flint/index
EDIT: Add "...should exist." sentence from the homepage.