Star Trek is probably my favorite Utopian dream.

The Trekian fantasy is not often thought of as Utopian because, in spite of the sublime technics, there are still the kinds of problems we're familiar with: war and the threat of war, illness, the possibility of violent death, etc. Even so, at its core, Star Trek provides a vision of what might be called a social and psychological utopia: one in which conflicts between human beings have moved to a new stage of development – that is, while there's still conflict, it's never based upon factors such as differences in skin tone or hair texture or nationality (a vague concept in the Trek universe) or region or language.

Conflict comes from hubris or madness or, typically, an essentially constructive desire warped by circumstances into a twisted form of its original shape.
Commonly, people focus on the dream technologies and non-human (yet, still English speaking) space-faring species as the easily referenced evidence of Trek's un-realness. For me, the smoothing out of nearly every human wrinkle has always stood out as the pop sci/fi saga's most incredible element.