Apple TV service coming sometime in 2020 or the near future. Stay tuned.
Don't think Netflix has that much to fear tbh - Apple services are non-existent outside the US. It'll take years until Apple releases a TV service in Canada and the UK, and probably never outside English-speaking countries. Netflix is present in almost every single country of the world and the markets outside the US is where they grow the most.
Apple's market reach is sinking rapidly - they're a company predominantly focused on and operating in the US now. Nothing wrong with that - companies like Spotify, Netflix, Google, Microsoft and Amazon are omnipresent in Europe and are gladly taking over Apple's former market share.
Most newer services (and some products) have never made it outside the US.
There's still no Siri remote for Apple TV outside the US, there's no EKG feature for the Apple Watch, Home Pods are present in what, 4 countries worldwide? HomeKit is close to non-existent outside the North American market.
In short: Apple's market share outside the US is collapsing. Even in the richest countries of the world, that typically used to be Apple strongholds, iOS is on its way out. Mac OS devices are niche products now in many markets. All of this is a result of years of failed pricing policy, the failure to deliver on services, bad availability (the 2018 iPad Pro keyboard still has several weeks to months wait times in many countries, for example) and a lack of diversity in Apple's leadership.
The company is led by a bunch of white American old men. Steve Jobs already had a strong distaste for Europe and the same goes for Tim Cook to some extent. The other members of Apple's leadership / geriatric wing almost never show up anywhere outside the US, unless they're on vacation.
Again, not a big deal - there are plenty of high-quality alternatives. Apple just shouldn't be surprised that they're now confined to a very competitive market. Other companies have had years and years of experience in the multimedia business and none of them are doing anything fundamentally wrong. This is not a Blackberry vs Apple situation here. Netflix, Hulu, Disney etc. have well-liked and highly refined products already. This isn't going to be a walk in the park - and might just end up as one big failure, just like the Home Pod.