active and passive infinitives can be used with the same meaning

[Vladv1]

I know that some active and passive infinitives can be used with the same meaning. There are many rooms to be painted/to paint.

Could you please list other common verbs used in this pattern? Is the construction "there is/there" necessary for this pattern to work, or are there other verbs that can be used in the infinitive with the same meaning (be it active or passive) without being preceded by there is/there are?

 

[Flask]

I know that some active and passive infinitives can be used with the same meaning. There are many rooms to be painted/to paint.

The sentence There are many rooms to paint does not have the same meaning as There are many rooms to be painted. With to paint, there is the sense of opportunity; with to be painted, there is the sense of obligation. Compare:

On the shelf, there are books to read. Please read as many of them as you wish.
On the shelf, there are books to be read. Somebody will check on your progress next month.