The healthcare side is one which irritates me greatly here in the UK. For obvious reasons, we get more exposure to US politics than anyone else’s — our Parliament channel carries CSPAN during gaps in schedules — which can lead us into seeing everything as a choice between the status quo and whatever they perceive of the US.
On healthcare, this is particularly counterproductive: there are dozens of very different systems in Western countries alone, but discussion always gets dragged down to a false dichotomy between the NHS and an exaggerated version of the US approach (invariably with Medicare, Medicaid and other aspects airbrushed out): we cannot possibly advocate any change at all, lest we end up going bankrupt if we break a leg!
I actually envy aspects of US (state) politics, too — for example, the ballot initiatives places like California have. (Probably not a popular concept in the UK right now, after the AV, Scottish independence and EU referendums, but the principle is sound.)