To my knowledge, it is not possible to achieve a proper energy consumption in existing buildings with reasonable effort ...
There are two vague definitions here.
1. Existing building stock:
Houses for which the building application was submitted and approved after November 1, 1977, i.e. after the first thermal protection ordinance came into force, have a certain construction standard that fundamentally takes thermal protection into account. As a result, all subsequent investments to improve insulation of walls, roofs, basements, floors, etc. are less "sensible" than in older buildings with lower energy standards. Moreover, thicker constructions are already present, which make reinforcement difficult or even impossible or very expensive.
So anyone who wants to dramatically reduce consumption should buy an older house or pay attention to retrofitting possibilities in newer ones. With a 40cm wall containing 5 cm insulation, there isn’t much more that can be done. But with a 24 cm wall, you can still add 15 cm - as an example.
It is true that it’s not always possible; the substance has to allow it, but then it is cheaper than building new.
2. "Proper" energy consumption
Where does "proper" start and where is it already "very proper" or when is it too much effort for too little benefit? Most existing buildings can be brought to a "proper" heat demand level of 100-120 kWh/m² per year with manageable effort, i.e. without wizardry.
Compared to the average demand of just under 200 kWh/m²a, that is only half. Compared to new buildings, it is sometimes twice as much. What is proper?
Anything below that requires suitable substance, as mentioned above. There is no limit then (passive house possible).
The big advantage in renovating existing buildings for your objective is that you are not bound by the Renewable Energy Heat Act or the new building requirements of the energy saving ordinance regarding the primary energy factor. Thus, you can carry out what really saves energy and omit what makes it expensive (residential ventilation, etc.).
What is expensive in renovation is converting existing structures, i.e. changing floor plans and extensions as well as dormers, etc. However, wall breakthroughs are the most cost-effective measure here.