Toyota only makes a few PHEVs; the majority of their hybrid line up is the so-called "self-charging hybrid" which is a stupid, loaded marketing term that makes people think the car is better than one which needs to charge, but I suppose that's the awful genius of marketing terms.
The Toyota hybrid architecture has changed over the years but the majority of these are based on some kind of power-split device. This allows the electric motors and engine to run simultaneously with the pairing of motors and planetary gearset acting as a variable-ratio transmission, and it gives these cars the "e-CVT" gearbox marketing name, but crucially these cars do not really have a CVT with all of its associated problems. The hybrid synergy drive is actually a rather clever architecture and it deserves praise for its simplicity and performance (as much as I think hybrids are becoming obsoleted by pure electric vehicles for most users.)
What confuses me about the Acura 350h is that it does not seem to be a PHEV, but up to a certain speed it will operate only from the battery and if you drive slowly and not accelerate too much it will stay on battery only? I guess they didn't bother giving a range spec as it doesn't apply in this case, as it is not truly a PHEV. I don't know what kind of algorithms they are using so I was hoping someone in here can shed some more light on this.
When Toyota (not Acura/Honda) say the vehicle can run up to 60km/h on electric power alone they are in the technically correct but not really useful category of facts. Yes, the e-CVT/HSD architecture can *probably* get the vehicle up to 60km/h without engaging the engine, but since achieving that will likely (a) exceed the nominal acceleration limit for pure-electric mode (typically more than 20-30kW) and (b) likely deplete the battery sufficiently such that the engine must run to recover charge, that fact is really not that useful.
The battery in these vehicles is typically of the order of 1-2kWh, with peak charge/discharge of around 25-40kW. Even in the most optimistic driving pattern you are not going more than 1-2 miles on a full charge, and the full battery cannot be utilised anyway (merely around 50% to protect its lifespan). And, even so, that battery must be topped up by the ICE, as you note, there is no way to plug the vehicle in. So even if it did offer pure EV mode, what would be the point? You are still burning petrol, just a few miles earlier. They do often offer an 'EV Mode' button in the car. I would not recommend using this, because you are just going to get 1 mile of pure electric mode, followed by a few miles more of the engine running under higher load to recuperate that charge. You would be better off just using the petrol-electric motor hybrid as normal, with the computer selecting the most appropriate mode given the acceleration, grade, temperature etc.
Non-plugin hybrids offer pretty good economy when you use them as they are really intended for: stop-and-go traffic or city traffic. There is a lot of opportunity to recuperate charge there, which can allow the pure EV modes to work longer. However, many times they seem to be sold to people who do a lot of driving on the highway, and this might be where the 60km/h claim also comes into it. These people would be better with diesel or pure EV, but Toyota doesn't like marketing either.