In the Netherlands, we have national police, local police, military police, railroad police, forest police, border police, and so on. They are all fairly independent of each other and have separate jurisdictions.
[1] https://nl.wikipedia.org/wiki/Dienst_Spoorwegpolitie#Opgehev...
[2] https://nl.wikipedia.org/wiki/Politie_in_Nederland#Vorming_v...
Now the 21 regional police have been merged into one national police.