Font integration? - Only since a few years back and only with awkward CSS that doesn't compile fonts and brings along licencing issues.
Relyable Layout behaviour? - Only with hacks and tricks and JS stunts. And not even then do we have the power of a usefull layout engine. ... OK, we've got justify, which no one else offers. ... I remember clearly Flash and the assh*les at Adobe screwing us over with in a fraudulent sale of a fake non-feature in Flash CS 5. In this small detail HTML actually is better than everything else that is out there, admitted.
Intelligent Image handling? - Meeh.
Asnchronous loading of content and further pages? - Yeah, we have Ajax and DOM manipulation which is, like I said, one large tacked on Hack. HTML was clearly not built with that in mind.
Audio? - Laughable. Yeah, it finally works, after 15+years. Sort of. Great. I am over-fucking-welmed.
Video intetration? - Not even today in 2015 are we seeing it as it should be. Instead the HTML Video idiots are wasting our time with DRM and other crap.
Just about all these things can be done better by orders of magnitude. And could have been done better for a long time, for instance with Flash. ... And no, I'm not presenting Flash as the solution to this - I'm giving a living proof that it can be done significantly better, prorietary tech aside.