> Inoreader (paid pro version) will also allow you to create feeds for sites that do not publish via rss.

I am a paid pro subscriber on Inoreader, and use it 2-3 hours a day for my work. I should mention that it provides a very limited number of certain types of feed (custom-created RSS, Twitter feeds, etc.), and you'll run out of them almost immediately if you want to follow a lot of places.

That said, Inoreader lets you plug as many RSS feeds as you like in, far as I can tell, and I've really loaded it up.

But do watch out for the limits, because the next grade up from 'Pro' is 'Call sales'. It's not very granular.

Just checked Inoreader's pricing plans and it looks like pro level gets you 20 custom-created rss feeds before you need to call for custom pricing.