A good example of amps adevertized as class A is the VOX AC series.
Actually they are their own type of class AB. For a good part of their operation they are genuinely class A, with almost constant power draw, but above a certain level, the total current increases significantly, resulting in sliding bias.
As drive increases, teh cathode voltage also increases, which tends to reduce the idle current, so at high power, the amp is running nearly class B, which explains why the tubes survive.
Some attribute the "chiming" tone to class A.