well i do not think that counter espionage has sth to do with the "minister of security" we have in HoI. usually counter espionage was done by the HoMI (just see the translation of the term "Abwehr", headed by Patzig and later Canaris. having googled quite a few of these people, i can say that in most cases its (at least for democracies) a post for internal affairs, like the british home secretary. the case of Himmler is a bit unique since he merged a govt post with a party post (not as a personal union like Göring did with Jägermeister, etc.).
there wasnt one either in GER until June 1936, AFAIK, just Länderpolizeien (appr. polices of the countries, Prussia, Bavaria, Saxonia, Bremen, etc)Epaminondas said:for a start, there wasn't even an Australian Federal Police force until 1979.