-MHEV: Just a beefed up starter motor, 48V battery, 0km range. The electric motor is used to reduce consumption, and the ICE is always on. The best benefit of these is being able to cheat on taxes.
-"self charging hybrid" (I hate that term as well): ~300V battery, 2km range, cannot be charged from the wall. The ICE is shutdown about 30% of the time in normal use, fuel efficiency is very good, 4-5L/100KM, compared to the 7-8L for similar sized car. Most Toyota, Lexus is this category.
-PHEV: Plugin hybrid. Goes 20-50KM on a charge from the wall. The ICE can drive the wheels.
-REX PHEV: This is BMW i3, i8 and Opel Ampera others. The wheels are driven only by an electric motor, range is limited to ~50KM or so. There is electric generator and a ICE completely separate from the drivetrain, to charge the battery. The i3 motor is like 600cc, and comes from a motorbike AFAIK.
-BEV
Hybrids and BEVs are completely different animals. Hybrids reduce fuel consumption, but do little for carbon emissions, because "reducing" emissions are pointless when we need to get to zero! Hybrids have never been about anything other than saving money spent on fuel.
That's so wrong on so many levels. The toyota prius has 200x less NOX emissions than those Diesel VW. And in many countries it is greener to drive a hybrid than an ICE just because where that electricity is coming from.
But look at it another way. Battery manufacturing capacity is not unlimited. If you can choose to build 1 BEV and save 100% emissions of one car, or build 30 hybrid, and save 30% emissions of 30 cars, which one is better?