Alright, you guys have sold me on The Archive. Downloaded it last night, and it’s pretty great.
@rnv Not really, to be honest... I use iCloud quite a bit (have family account, so forced to pay for storage, so why not use it...). Other than that, just my own rolled solution. I still use iOS Transmit combined with the Files app - some stuff goes to S3, some on WebDav, and some via sftp.
I don't really like the idea of centralized repository of files like Dropbox insists on, so this way I get to send the files where I need them to be.
Also, I have a Synology NAS, which has a similar cloud storage solution, but it stores stuff on your own NAS (even if you're off your network). I'd bet competing products have similar functoinality.