If all those services provide JSON blobs, that's halfway to making an RSS feed of them or building a custom search interface or what have you. The other half is standardizing common field names (so you don't have the same field named "created" or "published" or "date" depending on the source); Dublin Core and the like take care of that.
This is kind of an idea a coworker and I have been toying with. At it's core, all you really need is a pub-sub server, with daemons publishing and consuming some JSON blobs. Redis is a pub-sub server out of the box, write some simple Python wrappers that poll web pages, RSS feeds, etc. and publish, and on subscribes perform actions (i.e. hit the API!)
I would like to convert a script I have which polls from my Gmail for credit card charge notifications and publishes to Airtable (which works great for this task!) to a more-general Gmail listener which publishes, and a more-general Airtable publisher which can be setup to record certain messages.
We have such a system already, it's called PubSubHubbub. It's an open protocol, and there are already multiple servers (paid and free) and support by software, both by publishing systems like Wordpress and by news readers.