Hulu – 1 Stream http://www.hulu.com/help/articles/26164956
Amazon Instant – 2 Streams http://www.amazon.com/gp/help/customer/display.html?nodeId=201422770
Netflix – 1, 2, or 4 streams depending on your plan. https://www.netflix.com/ChangePlan
Watch ESPN – 5 devices at once. Please note all we could find is how many devices you could attach at once. We are assuming that means 5 streams at once. (We found this from Time Warner but find it holds true with other services like Comcast.) http://184.108.40.206/midwest/site.faqs/digitalcab/Programmin/Sports/ESPN/WatchESPN/How-many-devices-can-I-authori
Sling TV – 1 Stream (Please note that one stream dose include WatchESPN. You can not use the WatchESPN app and Sling TV app at the same time with a Sling TV login.)
WatchDisney, WatchDisneyJunior, and other Disney Networks – They all seam to allow 5 devices but some times we get kicked at fewer. Disney also makes you resign in on their network apps every month. This information comes from our testing not any website.
We will work on adding to this list as we find the limits of other services.