Speaking of SPICE, here's a nice little circuit:
I discovered the oscillator on the left, when attempting to build a Darlington transistor pair with a Baker clamp. (In practice, R10 comes from a logic voltage input, and R2 is a load, often inductive. R14 is optional, but exacerbates the oscillation, making it reproducible.)
The model on the left, of course, doesn't produce any oscillation: it reaches equilibrium within a couple hundred nanoseconds. (Which is kind of suspiciously fast for a TIP31 to do much of anything, I might add.)
The simulation on the right, showing semi-reasonable parasitics, was necessary to reproduce the oscillations. The parasitics are in reasonable locations, but their values are completely unreasonable.
The left circuit appears to be a limit cycle of an chaotic system; adding C1 to the real circuit introduces what looks like rising-edge crossover distortion, and adding a few other things causes all-out chaos.
(Incidentally, if you'd like to volunteer solutions that stabilize the right hand circuit -- other than reducing and removing the parasitics, which apparently isn't an option -- I'd be interested to hear them.)
I think the TL;DR is:
- TIP31Cs suck as switching transistors to begin with,
- The TIP31C SPICE model sucks, despite them having half a century to try and get it right.
Tim