In Italy the Carabinieri[0] used to have a Ferrari 250 GTE 2+2 in the '60s. The car is still around[1] and is legally allowed to go around with the original "police colors" even tho it's now owned by a private collector.

There's plenty more modern sport cars these days, in various countries.

[0] one of the 4-5 police forces in Italy

[1] https://www.motori.it/ferrari-250-gte-22-in-vendita-la-stori...