Is it possible to interpret "I would have liked to have met her" (a lift from G.Pullum et al) somewhat like:
(yesterday) I would have liked to have met her (the day before yesterday) (I had never seen her but almost the same time yesterday I took knowledge of her having undergone plastic surgery and wasn't herself anymore. That's why my seeing her was no longer sensible).
All the past week I would have liked to have met (underlines the putative completion of the action-meeting her, not reached though) her by the yesterday evening, at the least. But today morning I took knowledge of her having left for good and I wouldn't like to meet her anymore.
In the next example it stands: "I should like to have finished it by the end of the week". Here the question is:
by the end of the previous week (I have not finished it yet and I regret this)
or by the end of the next week (putative comletion by a certaint time in the future akin to the Future Perfect use)?