Every time I use Hulu, I say "I wish this UI was half as good as Amazon's."
For players: Amazon's interface is much better than it used to be when Prime TV firt began but it has a lot of gimmicks too that take time to understand. Hulu's still buffers or gets stuck on an ad or does something dumb.
Finding stuff: Hulu isn't great for that and I hate my queue/watchlist. I think it was following in the footsteps of Netflix, switching to the big pictures, which I'm assuming is meant for swipe-y screens/tvs more so than the computer browser these days. The findability of items on Amazon is appalling, despite having a generally good selection.
To actually browse, on Prime and Netflix at least, I use instantwatcher.com.
Slow, ugly, poor UX.
Netflix on the same device is excellent.
However, that works surprisingly well. And it has a bonus feature: While the episode is playing, you get annotations on the phone about what actors are on the screen and what music is playing, with the ability to click on them to get bios etc.
(I'm sure this isn't offered on every show streaming on Prime; the last example I remember was Goliath.)