Around here both police and ambulance services are provided by the state (or contracted from an outside operator in case of some ambulance services, Falck for example).
Fire departments in cities are all run by the state, and in rural areas some are also state run but some are voluntary.
Police vehicles include mostly Ford Mondeo, Opel Astra/Vectra, Mazda 626 and other mid-class sedans plus MB
Vito and similar minivans.
Ambulance services are mostly run using Ford Transits, VW
Transporters (sometimes Caravelles) and MB
Fire departments provide relatively more interesting sight - in all larger cities there are new Scania trucks employed, but when you get out of the cities you'll end up seeing Scanias both old and new, older Volvos, a couple of MBs, DAF's and a whole fleet of ZiL's and GAZ's that have been here since the Soviet era ended.
I've always been curious, why are ambulances in Sweden usually based either on Volvo or MB
regular cars with a rebuilt rear part, instead of vans or minivans? I've had the 'luck' of being treated in a MB
Sprinter ambulance once and it seemed really small and tight, I can't imagine what it would be in an ambulance based on a regular station wagon.