So, in the UK most of our charging points are one of:
1 phase @ 16 A (3 kW)
1 phase @ 32 A (7 kW)
3 phase @ 32 A (22 kW)
3 phase @ 63 A (43 kW)
In much of Europe 3 phase @ 16 A (11 kW) is also pretty common.
But it's rather unclear to me what other combinations are supported by both the standards and the cars, and what exactly happens if you have a different combination. I've seen it stated that an IEC 62196 Type 2 connector is rated at 80 A single phase, up from 63 A for 3 phase, which kind of makes sense as only 2 pins are getting hot instead of three. The signalling standard supports 80 A, but I have never seen a single phase charge point at over 32 A even though in the UK single phase supplies of 100 A are the norm. I think some Teslas support a high current single phase AC mode?
So if you gave a car a single phase supply and set the signalling for 80 A what does it do? Let's say it's designed for 43 kW 3-phase charging @ 63 A per phase like a rapid-charge Zoe, does it draw 63 A on one phase? Does it draw 80 A because the limiting factor for the charger is not the input current? Does it sit and sulk at 32 A because that's the highest the designers expected for single phase? What happens if you give it single phase between L3 and N with nothing on L1 and L2?
If you connect the same phase to L1, L2 and L3 is the car smart enough to keep the neutral current down to the signalled level or does everything go up in smoke? What about if you connect two phases of a three phase supply - does that just work as expected at 2/3 power? What if you make those two phases 180 degrees apart, does it work or go bang from the increased phase-phase voltage?
I have a suspicion that the charging standards will cover some of these cases, but that most will be up to the vehicle manufacturer and probably not publicly documented to this level of detail.