On page 54 of my book on Brunei English (see here), I list the following examples of 'one of' followed by a singular noun:
one of the queen
one of the actor
one of my life's luxury
one of my cousin
one of our relative
one of the tourist site
In the test for a fourth year UBD module, my students were asked to translate into English a short Malay text which included the phrase:
salah satu daripada haiwan di negara ini
Seven of the 23 students translated it as 'one of the animal in this country', with no 's' on 'animal', so this gives us an estimate of the frequency of occurrence of this pattern among fourth year students at UBD.