Interestingly, I've built a number of power amplifiers of my own design, using numerous topologies, and I've never had to deal with parasitic oscillation before. This time I tried something different and the result wasn't too good.
I have a Darlington push-pull output being driven by a long-tailed pair (the negative feedback here is what I expect to be the source of the oscillation). When I start up the amplifier, the transformer draws 800mA at 120VAC with no output load (so almost 100W into the transformer, I'd guess about 70-80W being dissipated between the output transistors, as they are the only things getting warm). The output has a 12 MHz, nearly rail-to-rail oscillation, and by the time I shut it off, the transistors' temperatures are within 3°C of each other, so they are sharing this massive load just as they should.
The circuit worked in simulation (yeah, yeah, I know...), and all the different subcircuits worked on a breadboard. I never built the entire device at once because it's such a big circuit that I don't have breadboard space for it.
My guesses for the source of the oscillation are a problem in the negative feedback to the long-tailed pair, or power supply problems - on the breadboard, the power came from two massive, 25V 5A linear power supplies to give the ±25V rail. Here the power supply circuitry is of my own design and probably not quite as good. (Having worked with vacuum tube amplifiers, which due completely shit noise rejection are very picky about grounding, I can vouch for the design of the circuit ground. It's not getting its feedback through that.)
The question is, where do I start in trying to fix this? I know that each subcircuit works by itself, so I can't just start cutting traces and running the circuits separately - they should work fine! The problem is when they all come together. But I can't sit there probing around for long while the transistors are dissipating 70W and climbing (temperature coefficient and all that!).