[ceejayoz]

The biggest examples would be https://en.wikipedia.org/wiki/University_of_Pittsburgh_Medic... and https://en.wikipedia.org/wiki/Kaiser_Permanente.

I keep hoping my local university hospital system will offer such a thing.

[marcus0x62]

I'm familiar with both organizations. 1) the OP asserted that insurance companies "increasingly" owned hospitals. UPMC and Kaiser have existed for decades. 2) together, they represent less than 2% of the hospitals in the United States.