It's not an analogy, it's pretty much the same thing:
Basic Law of Germany, Article 73:
> The Federation shall have exclusive power to legislate with respect to [...] 7. postal and telecommunication services
Constitution of Australia, Article 51:
> The Parliament shall, subject to this Constitution, have power to make laws for the peace, order, and good government of the Commonwealth with respect to: [...] (v) postal, telegraphic, telephonic, and other like services;
The Federal Republic of Germany wanted to start a TV network to compete with the public regional broadcasters created under the oversight of the allies and tenuously linked to the states. The states sued in 1961 in the Constitutional Court, saying that regulation of broadcasting and the media wasn't granted to the federal government by the constitution (or than technical standards and communications infrastructure where applicable) and they won.
In Australia a similar court case was brought in 1965 by a private person and the judges, at least some presumably born before Australia was even a country, stretching the powers too far and basically assuming that YouTube or Netflix or even video tapes would never exist ruled in what the Federal Law Review called a "failure by the majority judges to justify their decisions on a basis of logic or experience" http://classic.austlii.edu.au/au/journals/FedLawRw/1965/5.ht... Which leads me to think that if this were re-litigated in today's age by the states it may well yield a different outcome.
Also note how the wording in the Australian constitution is actually a bit more restrictive on top of all of that.