In the UK, there are a number of tarrifs targeted at EVs ranging from around 7.5p to 11p p/kWh. Some are type of use (i.e. they monitor exactly what goes into your EV and give you a rebate for the amount that went to your EV) and others are time of use like the traditional night time tarrifs.

I'm on Intelligent Octopus which gives 7.5p p/kWh guaranteed on any electricity use from 11.30pm to 5.30am. Outside of that, if you allow it to manage your EV charge schedule, you can actually get the lower rate at other times of the day I'm guessing subject to general grid load or wholesale costs dropping. For example, I've had my EV charge until 7.30am on a couple of occasions, still at the lower rate.