A Fachhochschule (Wikipedia calls them "university of applied sciences") in Germany is very similar to a university but as they're less research oriented and usually (with some notable exceptions) don't have the ability to grant doctoral degrees. AFAIK none have the permission to grant the ability to become professor (Habilitation). They also usually have a limited selection of subjects.

There are also Technische Universitäten (Technical University) which are "proper" universities with the ability to grant doctorates and the ability to become professor.

So Fachhochschulen are a separate thing from both Berufsschule (vocational school) and universities.