Google Takeout offers a way to export Youtube videos in your own account, and they may be portable to another location. In order to make use of this, you're going to need to handle the export on a computer or device that has enough storage to be able to store the ZIP and probably also to unZIP it if you want to do anything with the videos.
If you don't have enough storage or network bandwidth makes this less feasible, you may need to take an intermediary step and first export your YouTube videos to an online document storage service, then upload from there to the ultimate destination. This index has help available on that step.
Many other video platforms can accept video uploads in the format provided by YouTube, but you're going to have to upload the videos manually yourself. In fact, this export approach is even recommended in order to move videos from one YouTube account to another.
This may be the best option for transfering YouTube videos to the following destinations:
The source code (markdown) for this article can be found on GitHub.