The answer is B: I love many kinds of music: country, rap, hip-hop, jazz, and rock.
This sentence (B) follows the guideline instructing that one of the uses of a colon is to introduce a list of items, which are country, rap, hip-hop, jazz, and rock. The other sentences don't conform to the style guidelines. In A: a list of direct objects following a preposition (of). In C: there is an introdutory expression (namely). In D: The clause preceding the colon is not a complete sentence.