I think for the brief period of time that you would be exposed (and you are quite fully clothed) that you would be okay, unless there are excessive fuel or oil leaks that would also spray onto you as you exit, potentially leading to you igniting of sorts.
In the case of a single engine plane like the first FW-190 clip, bailing out of wholly preferable to staying in what will become a barbecue.
Referring to the P-38 clip, if you act extremely fast you may be able to have saved it. Cut off the fuel supply to the right engine, and perhaps the ignition too. If the fire goes out (localized to the engine) carry on single engine, you could even risk it if again - just the engine is one fire as it may burn itself out quickly enough once there is nothing to burn (leftover fuel in the lines maybe?). As soon as the wing gets on fire, the wing tanks are a serious risk and I’d bail out immediately as wing damage can and will likely lead to loss of control (surfaces) - after the obvious fuel problem.
I wonder if in the case of the P-38, if there is any sort of cross-feed, and that you could bank left and open the cross feed to drain fuel away from the fire (or would that lead to more room for dangerous fuel vapors and dumping into the tank removing room for vapor would help?).
In the last clip, rolling your plane onto an inverted flat spin is just cruel towards your crewmen!