Dublin region, Ireland:
Cheap-
Education: although students do have to pay a 3,000pa "registration fee", that's about it, and because there are good transport links to the four major institutions, the bulk of students live at home while in college. Student lending is very constrained, and the idea of graduating with debts beyond late fines from the library is relatively rare.
Healthcare: it's not exactly a great system, but you can get by quite reasonably using public healthcare. I fractured a bone a few years ago when I didn't have insurance: I paid a hundred euro emergency room charge, but beyond that the splint and the rehab sessions with the physio were free. I have health insurance now, so that I can get better treatment if I end up needing it, and it costs under eighty euro a month for my spouse and I combined.
Groceries: Aldi and Lidl have taken a sledgehammer to grocery pricing here in the last fifteen years, and control between a fifth and a quarter of the market. The nearest supermarket to our home is an Aldi a mile away, and until recently I worked in a building with a Lidl on the ground floor. I barely bought anything outside those two shops for a couple of years straight.
Travel: we get a reminder occasionally of how lucky we are in terms of travel. If I wanted to experience a new culture at the end of January, it would cost me...seventy-two euro right now to book a weekend in Basel (for flights). Visiting pretty much any European country is an option for a long weekend, and costs very little. Paris, London, Berlin, Barcelona, Rome...I can leave work a little early on a Friday and be in any of those cities in time for a nightcap.
Expensive:
Alcohol: excise duties on booze in Ireland are severe, and getting a beer in a bar for less than five euro is notable. Getting a beer in a shop is also visibly more expensive: a decent craft beer will be two euro per can at a bare minimum.
Housing: thanks to the near-complete collapse of the construction sector and several decades of awful urban planning, we have a desperate shortage of properties in Dublin. We own (albeit with a mortgage) a three-bed semi-detached house in a pleasant but unremarkable area that hovers between the city proper and the suburbs, and our house was recently valued at four hundred thousand euro.
Fuel: this is another area where costs diverge significantly from the US experience. Right now, it's marginally below 1.50 a litre, or seven dollars a gallon. However, Ireland is pretty small, and about half the population lives in the greater Dublin region, so we don't have to drive particularly far in most cases.
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I'm sure there are others, but these are the ones that come to mind.