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There are multiple electricity providers in the UK currently that have "EV tariffs" where they give you substantially discounted overnight/off-peak rates in exchange for a slightly higher daytime rate in order to encourage overnight charging. Often up to a maximum specified number of KWh per cycle.

In previous times they used to offer a tariff called economy 7 which worked in conjunction with so-called storage heaters. They would charge during off-peak times and provide heat during more active hours. (disclaimer, I've never lived in a property on such a scheme but definitely saw a few in my student days)

Octopus (https://octopus.energy/) do 7.5p/kwh 00:30-04:30. I haven't used it, though, no idea if there are catches.

They are becoming more common here in the US. Although the one that I see most is more like a 3-4 hour peak period with very high rates and lower rates the rest of the day.

It's common in france due to the amount of nuclear