This is what I've been waiting for. A dropbox-like service that uses BitTorrent. Seriously, with the way BitTorrent is integrated into all kinds of services and devices, it would be like instant Dropbox integration, with everything. You could start using the cool Torrent scheduling stuff to, for example, automatically transfer large files to a partner, quickly, as they're produced on the other end. Or to your TV, whatever.
I use git-annex assistant for that. When a new file appears in a certain directory in my VPS, the Assistant will automatically sync it to my Desktop machine (which has a 2TB disk). When the VPS disk space gets low, a script will run "git annex drop --in=here --in=desktop", which deletes files that have already been copied to the Desktop (but not without first checking if they're there).
Then, on my laptop, I can just do "git annex get [file]" and it'll fetch it from the best source automatically.
Don't forget about most people's very limited upload speed if they need to access files from a "not-in-sync" client.
Not saying Dropbox download speeds are a lot better, they actually sucked for large files last time I checked.
Of course, if you throw this on a server though, it obviously becomes a very good alternative to Dropbox et al, yet that's not a solution for everybody and you yourself are responsible for keeping the server safe.
This is why it's important to demand symmetric speeds from Internet providers in US. People are uploading a lot of stuff to the Internet these days. It's a much more 2-way medium today than it was in the past.