In the digital world, I expect museums to provide the information that they cannot provide in the physical exhibit. At least a catalog which can be used for in depth research, like that at the British Museum in London. All of the metadata and past articles and exhibits created by the museum should be online. Anything beyond the catalog I would consider extra with the museum going above and beyond. Social media, while good for advertisement, I consider unnecessary as they do not contribute to the information of objects. Most digital work is for exposure and not necessarily for education.
I have only taken an online course once before and my experience with it was not satisfactory. Honestly, I dislike the idea of online courses. For people who are in a position where they cannot attend school, I understand the necessity but opting for internet learning as opposed to personal experience and interaction seems unrealistic. The best version of a digital course I can think of would be based around independent research. The student would be monitored by regular interaction every week by the instructor online and would have more free-reign to build their own project. Particularly for digital projects, such as 3D modeling, the students would collaborate online while all viewing the same model and suggesting changes. However, I do not think traditional learning can take place over the internet.
I found this series a while back when I was exploring videos on ancient history. This particular one is about the life of adolescent girls in ancient Rome. https://www.youtube.com/watch?v=RQMgLxVxsrw
There are others along the same topic of history and random interesting concepts that have good imagery and narration. In general, TED Education tends to pick interesting topics that people are likely to click on and the content is well-rounded making it enjoyable. The videos are not too long but they provide a good amount of content.