Sunnyvale California and Kalamazoo Michigan also use the Public Safety Officer position, with each person cross trained and working in Fire, LE, and EMS. Honestly, it kinda sounds like a lot of fun. It may not be the best model as it brings further dilution of skill and it's increasingly difficult to be a master at more than one thing, but it really could be a good time...
Couple of police in the UK who are also HCPC registered paramedics.
I grew up in a community that did the Public Safety Office deal, and while it looks great on paper, it's not pretty when there is an actual fire. In my experience most Public Safety Officers are officers first, then fire fighters if they have to, and finally EMTs if the ambulance never shows up.
What about Police/BLS combo? Not just police officers who carry AEDs but are actually certified EMTs and get dispatched to EMS calls to function as an EMT? I seem to remember seeing at least one police officer in Fayetteville, NC who was a sworn, badge and gun officer while carrying a good sized aid bag on his person
How about volunteer FF/EMT and being a paid Officer?
Works when there's a fire, there is always police reserve and mutual aid if you need one extra guy on the road.