I'd say the "premier digital media company" at the moment is Netflix. They have their problems and troubles, but they have enough brand recognition and enough good content (albeit produced by other people) to quality for that moniker.
What about YouTube? Or Zynga? Or Facebook for its photos?
I think when people hear the phrase "digital media", they think of it has traditional-media-delivered-digitally. But I think the internet enables entirely new variations of traditional media, tailor-made for our hypersocial, crowdsourced, and attentionless internet society.
Agreed. I would think you could make an argument for NetFlix (streaming/rentals), Apple (iTunes + players), or Amazon (streaming/rental/sales/player (book)) as being 'digital media' companies.
It may be that I think 'education/entertainment' more than I think 'discovery' when I think digital media. If Yahoo claimed to be the digital media discovery company that might be the starting point for a bigger vision.