What is the function of preposition plus object in a sentence?

Preposition plus object can be used as almost any component except predicate in a sentence, such as subject, adverbial, predicative, object complement, attribute, object of another preposition and so on.

Give a few examples.

Listening to music is a pleasure. Subject and adverbial.

This decision is very important to me.

They found the machine in poor condition.

A beautiful girl appeared from behind the curtain. (prepositional object)