Welcome Kupatchka.

Nothing wrong with 1 would have liked to do, it just meams something else. If the liking was directed at what was then the future, I would have liked to do would indeed be appropriate. If however the liking refers to something which was then in the past then I would have liked to have done would be more appropriate.

For example:
I would have liked to read "War and Peace" but my boyfriend insisted on going to the cinema.
I would have liked to have read "War and Peace" so I could follow the conversation better.

Bingley

Bingley