Municipal police forces are administered by the municipalities which are creatures of their Provinces.
Similarly, Superior courts (Including County courts) are administered by Provincial Attorneys General, but the judges are Federally appointed. Inferior court are provincially administered and their judges (magistrates) are provincially appointed.
Law Societies are Provincial entities but they severally jealously guard their independence from government to regulate the legal profession. This is deemed to be necessary to protect the individual from having his lawyer subject to undue influence from the governmental justice system.
The Provinces and Canada each may create and administer administrative tribunals to regulate matters within their respective jurisdiction (for examples, immigration boards, milk parketing boards, provincial human rights commissions, the federal human rights commission, et alia ad nauseam).
This is a gross oversimplification.
Interesting stuff.