A. Here are some candidate adjectives from Laurel MacKenzie that seem to be obligatorily transitive:
bent, in the intentional meaning, as in "They were bent on conquest."
B. At, despite, and during are obligatorily transitive prepositions, whereas along, besides, between, by, and under are optionally transitive. Here are some intransitive examples with these latter prepositions:
B. In the standard language, with is obligatorily transitive. However, there are dialects in which with can occur intransitively, as in:
They asked me to come with?