I think the older standard was 10A circuits for most of the house, 16A for kitchen and washing room and a dedicated 20A for the electric stove. I thought 10A was the most common still, but I may be wrong there.

The standard for newer houses, the past 10-15 years or so, is indeed 16A. I have 5x16A + 1x20A and a 35A main circuit breaker, so I can pull about 8kW all together. Enough for a few kettles :) (This is for a a 40m^2/400 sq.ft. condo. A house would have more circuits and a larger main circuit breaker. And this is for Norway - we tend to follow similar standards as Denmark and Sweden, but there may be differences I'm not aware of.)