Currently there is no endpoint in the api towards the file storage.
This would help us to automatically upload certain assets or keeping .JS/.CSS files up to date with our repository.
By experimentation for one of my clients I found some undocumented endpoints that can provide you exports of your files and folders.
Replace p03 with your respective pod number.
This one gives you all the folders in the file library:
This one gives you all the files in the file library:
Use them at your own risk, they are not documented/supported but they seem to do the job. It would be great if they could get included in the documentation and get support.