A cassette with a recording medium, in particular a magnetic recording medium, is designed with a displaceable identification part which can be pushed into the cassette housing. For this purpose, a web is provided behind a cassette opening in a cassette wall, which web runs at an angle with respect to the cassette wall. It is also possible to provide a web which is approximately parallel to the cassette wall, and the identification part, designed as a slide, is provided with a front beveling, in the opening sliding direction, in order to push the slide partially past the edge of the cassette wall located in the opening direction.The cassette can be used for recording/reproducing signals of any type, and any functions of the associated cassette apparatus can be controlled indirectly by the positionally displaceable identification part.