The LU asset list is contained in the response to
this FoI, however be warned that the list is not complete, with some 96 stock not included. In addition the recent introduction of S7 stock means that the listing is not complete for them either.
I am firmly in the camp of those who write down every little detail. However for most lines where trains are composed of two half units, I just stand in the middle of the platform so I can write down the number of the two coaches in the middle of the formation, if not before boarding, then once onboard as you can peer into the next carriage to see what number it is.
For C-stock, I tend to stand between the 4th and 5th carriage, so that as the first unit whizzes past me, I can write down what it is, before doing the same as above as the train comes to a stop.
92 stock is a bit of a bitch and same goes with 96 stock in central London, which is part of the reason why I avoid them where I can.