Are you talking about the mail-DVD-rentals-to-your-house market or the stream-video-over-the-internet market. Because they've got plenty of fairly direct competition in the latter and currently more significant market (Amazon, Hulu, and Redbox streaming services, among others) as well as plenty of close substitutes (e.g., cable/satellite TV services which include "On Demand" series and movies) , and, if not a lot of direct competiton in the former market, at a minimum a close substitutes in the form of pervasive rental outlets (particularly Redbox).
It's not clear to me that it makes sense to define Netflix's exact business model as a market. If you look at streaming video in general as the market there are many competitors like Apple, MS, Sony, Hulu, Epix, etc.