I regard the 60 RPM cutoff as being simple enough.
I find it not very elegant but if the others like it, I will not oppose it.
Maybe we could simply consider the topple as the end of the spin. Not perfect, the diameter of the flat spot, (always less or more present, I believe), influences the critical speed. But simple and universal. On the other side, putting a cutoff at 60 RPM is not much more correct anyway, because this limit is arbitrary, since the various tops have different critical speeds.
Maybe, the tops that do not topple, if someone is interested, could be considered as a subcategory apart; after all, they still behave like real tops, when they precess or nutate or wobble for unbalance.
I agree to start with very few categories, just the ones we are interested in. New categories, in any case, could be opened by the time, on request.