I deleted my comment because it was a bit trolly and unhelpful. What I should have said is that I believe under normal circumstances, Netflix works in Firefox out of the box. I believe you had an issue, but I wanted to let you and others know, that that isn't the norm.

I'm unaware of any streaming services that work in chrome but not Firefox.

I would love this. As mentioned before, I'm not sure how feasible it is, but give it a shot.