I asked Dan Alan questions about his own masonry heater
here. Apparently the final exhaust temperature gets up to around 200 degrees, which I assume is Fahrenheit and would be 93°C. This seems to be very good performance, but it starts out at only a little above room temperature so with denser thermal mass (e.g. basalt, water) or a PCM such as paraffin wax, it might be capable of maximally efficiency over a longer burn time or be able to hold the heat for longer. Still, I want to emphasize that this is excellent performance compared with pretty much anything else but a rocket mass heater, though I would like to see what the exhaust temperature of one of those is at the end of a burn.
Another design I came across that had exhaust temperatures listed was the
Cornish Masonry Stove, where the temperature of the exhaust gas is
listed as 350F, or 176°C. To quote:
By the time the air exits the chimney it has cooled to around or below 350 F (meaning no wasted heat).
Obviously there is wasted heat, because 176°C is not the outside temperature. But still, kudos on actually giving out some figures that are likely legit. They have a very interesting modular design.