I have just had an interesting experience.(Well, I thought it was interesting.) A CouchSurfing guest who was due to arrive tomorrow had to cancel. I had been looking forward to meeting her, and wanted to let her know this. I know that in practice any of the three utterances below are possible, but I wonder what the pedant would say.
1. I would have liked to meet you.
2. I would like to have met you.
3. I would have liked to have met you.
I imagine, if we assume an unuttered if your flight had not been cancelled, then we are dealing with a counterfactual situation, so we should use I would have liked. And, as the meeting is not anterior to the liking, then it must be to meet rather than to have met. So, the pedant’s choice, IMO, would be #1.
Interesting that an utterance such as I would have liked to meet you which would, without full context, probably be taken to refer to a past disappointment about a past non-meeting in fact refers to a future disappointment about a future non-meeting.
I think.