modal verbs - "I would have liked to come" and "I would like to have come" - difference?

Please read the following:

1. I would like to come with you.



2. I would have liked to come with you.


3. I would like to have come with you.

Another example:

1. I would prefer to drink coffee.


2. I would have preferred to drink coffee.


3. I would prefer to have drunk coffee.

I perfectly understand the first sentence in both the groups. What I would like to know is the difference between second and third sentences. Could you please explain that?