Flying is all about overcoming gravity. Gravity is a force, so we need to add a second force that is equal or greater, and opposed in direction.
So far, we have brute-force attempts as seen in rockets or, to a degree, helicopters: We apply the engine power fairly directly to push matter down in order to use the resulting force as lift.
Then we have a somewhat more indirect approach in fixed-wing aircraft, and to a degree in helicopters: we use speed and the bernoulli-effect to generate lift.
And finally, in balloons and airships, we use buoyancy, i.e. air pressure applied to a less dense lifting body.
What it all boils down to is countering the effects of the gravitational force.
That leaves us with a number of options for sci-fi flying devices: we can use unobtanium engines to apply force easier, cheaper, more, you name it.
But that would simply result in the same type of aircraft with new engines.
Definitely not hipster enough.
Then we could increase buoyancy.
vacuum comes to mind, as that is still lighter than hydrogen. And it doesn't burn, a definite plus. It's also unnatural: the planet will try pretty much everything to fill that vacuum. So we need a way to keep the planet and it's atmosphere out. Today, you would need some kind of rigid structure to counter the pressure of the surrounding air on the vacuum bubble we need for lifting.
Let's say we could flex a material by applying electricity. Let's further say we can do this for an extremely light and gas-tight material. Think in terms of graphene, i.e. one molecule thick and extremely strong, plus our brandnew unobtanium engine to provide electricity to force our cool supermaterial into a large buggble containing nothing (our vacuum). Some more of the electricity from our unobtanium engine goes ito propulsion.
That's already quite hipster.
But let's face it, it's still the same stuff we had for more than a hudred years in a cooler hull.
We can do better than that.
Let's get back do the drawing board.
We want a large, majestic-looking machine, that transports the idea of floating effortlessly overhead, all awe-inspiring, glittering and majestic.
We know that the planet doesn't like large things floating effortlessly. Because gravity.
So be it then, if gravity is the problem, rather than having our own force to work against it, we could simply remove that force.
As of now, we don't really know where mass comes from. (from too many cookies, yes, but where does the mass in the cookies come from?) The higgs-particle might be the primary part of gravity, and as of now, most particles we found either have or are suspected to have an anti-particle.
So here's our solution: We found out about the higgs particle, and the anti-higgs-particle. And we found ways to produce them cheaply (all of that powered by that same unobtanium engine. But we created a much cooler housing for it!).
Now we can create any structure, design it for maximum marketability, add go-faster-stripes and anything (and lots of glitter!), and load a few crates of anti-higgs in the hold, and voilà, floating big awe-inspiring majestic structure in the sky!
Add our fancy-clad unobtanium engine for propulstion as needed.
Or go all the way, have an anti-higgs-shield around our anti-higgs-crates (we don't want people walking on the ceiling of our large stately cabin deck, do we?), and a hole in the shield where the anti-gravity force can work. Now all we need is to direct the anti-gravity (by pointing the hole in the shield in the desired direction), and you can balance your buoyancy, and use the same force for propulsion.
That, i think, would definitely be hipster enough.