In Germany, that's called "Betriebsrat" (something like "company council") with pretty much the same purpose.
And then there's the "Gewerkschaft", which are unions not for one company but for entire sectors of the economy who - through their numbers of members - are able to do collective bargaining for the employees of their fields of various companies. E.g. "IG Metall" being the industrial union of metalworkers, which considering Germanys large manufacturing background is the largest union in the country.
See also: https://en.wikipedia.org/wiki/IG_Metall