As a half Brit now living in Italy, I agree with the bidet (coukdn’t live without one now), the ID cards and the lack of green spaces. Also with the concorsi which are usually rigged anyway so someone’s relative gets in.
For the schools, I’m a fan of the Italian system in as far as content is concerned, my DD is doing both UK and Italian state exams and most subjects are studied to a much higher level at this stage (eg. Maths is about a year ahead etc.). That said, if you get a shit teacher (and they typically don’t get changed every year) then it can completely ruin your child’s educational experience. We moved our DD out of the Italian system for this reason alone, plus I have a couple of friends with high flying DC who have now encountered dud teachers and they are having problems. Italian parents typically won’t complain about a teacher “in case they take it out in their kids” and the DC get marked down.
Re healthcare, I think it depends on where you live. Where I am I’ve had quick access to what I need (you can now book most specialist appointments on the phone, yay!), there are a lot of private clinics that will do public health blood tests etc. so you get an appointment pretty much the next day. The antenatal and maternity care is streets ahead of the UK and we get a lot of routine tests that are not offered on the NHS. We also have an electronic healthcard that has all your details on and also functions as anEHIC when you go abroad.
Parks I agree with, I miss the parks in London. That said, where I lived before I had 3 parks within a 5 minute walk, now I have to cycle 15 mins to reach a (albeit huge) Park, everything close is essentially scrubby grass with a couple of swings and infested with mosquitos.
Oh yes, the mosquitos are horrendous here.
Building regs - I’ve lived in cruddy places in both countries, as well as some incredibly solidly built places. The problem in Italy is that people would carry out building or refurbishments abusively without prrmission (we had people laying cement floors over existing ones in a 18thC building which made the wooden beam ceilings on the lower floors warp) and count on paying for conformity (condono) at a later stage. This used to be a way for the government to earn money but it seems to have died down now.