I actually agree with some of the other commenters in this thread: Huxley's dystopia is, well, far less dystopian than Orwell's. Or, in a more nuanced look, Huxley's book suffers an unfortunate dichotomy: the things that are bad are not realistic and the things that are realistic are not bad.
The legitimately dystopian part of Brave New World are often technical in nature—effectively mind control through drugs and a caste system propped up by genetic engineering. These don't just require advances in technology but also a surprising level of social organization. Where 1984 feels like a continuous progression from a Soviet Union that never collapsed, these core parts of Brave New World comes of as discontinuous, a jump both socially and technically.
And without these extreme social and technical changes, it stops being a dystopia. If not for the eugenics, genetics and soma, it sounds like a nice place to live! Freer sex, freer entertainment, more automation, more leisure... It's radical, certainly, but not in a bad way—a radical departure from our current almost Puritan work ethic and our obsession with certain abstractions (the poorly defined "real vs superficial", "honor", "the dignity of work"¹...etc) sounds like just what we need.
I like giving people what they want, even if I think it's shallow or superficial. Then again, I've never been one to treat hedonism as a bad word.
That cartoon people like to pass around really captures my thoughts—in a way that's opposite to its intended message! It shows how some of the believable things in Brave New World are believable, but never shows why they're bad. It just assumes, and ties into cultural ideas (like "hard work is good" or "your life must have meaning") that many people don't question. But it misses the mark because it ignores the parts that are not plausible but actually created the dystopian environment.
The cartoon (much more than the book itself) is also a bit grating because I sense some condescending overtones. "Look at all those people who don't care about the world but just distract themselves with popular entertainment. How shallow!" Obviously you, the reader, do not belong to this group. And hey, I don't disagree per se—I think most popular distractions are shallow and have much better alternatives—but I also think there's nothing inherently wrong with enjoying them. I mean, I follow the news, I care about recent events and where does it get me? Nowhere. I guess I could vote² a bit better, but all it's done is sour me on all major candidates. Is this meaningfully better than comfortable ignorance? No, but people tell me it is. And here I am.
Really, Brave New World minus the implausible bits and with a larger dash of individual freedom thrown in is pretty much as far from dystopian as it can get. Radical, certainly, and jarring—very different from our current social order—but fundamentally good. It feels like it's just a few exaggerated risks thrown in to make leisure and entertainment seem crass and indolent. 1984, on the other hand, doesn't feel all that different from my parents' tales about the Soviet Union.
I know which one I'm more afraid of!
footnotes
¹ I've always really disliked this phrase. It's one part rationalization and one part a way to keep people down and working even if they don't want to. Doing something menial or boring or easily automatable just for the sake of working is not my picture of dignity!
² Haha, no I can't, because I'm not a citizen. So I'd have to become a citizen first. It doesn't matter, but it is annoying.