As in, you don't like direct refernces á la "The Titan swept into orbit, the Federation starships with the most diverse crew", or do you dislike the actual respresentation of the ship's diversity, e.g. "... walked past an Arcturian maintenance technician"?
I know what you're trying to say, but technically the second example isn't much better than the first, since it's still just
asserting the diversity rather than
using it, say, building a story where the character conflicts arise from the differing worldviews, psychologies, physiological needs and drives, etc. of the different species in the crew. A lot of the interesting character dynamics in TOS rose from Spock's differences in belief, behavior, and biology from the human crew, and much the same goes for later characters like Data, Worf, Odo, and Quark.
Titan was basically meant to be that same kind of thing writ large, a cast of characters diverse enough to allow many such potential interactions and conflicts, and with humans being the minority species for a change rather than the default definer of normality. (Well, for a change as far as series set on Starfleet vessels are concerned; DS9 was sort of in that vein.)