In your examples these are just the present continuous. This developed from using participles with forms of the verb "be". Nearly all cases of "be+ ...ing" will be present continuous tense. The example below is artificial and forced.
In fact the classes of "gerund" and "participle" are now so mixed in English that ...
... Australia's Northern Territory became [the first legal
authority in the world to allow doctors to take the lives of incurably
ill patients who wish to die].
It's an infinitival relative clause functioning as a modifier in the bracketed noun phrase.
Infinitival relative clauses typically have a modal meaning comparable to that expressed in finites by &...