Takeafile
Takeafile.com has always been a home for a new way to send your files. Right now this service is inactive but check back and it may be here again.
Here is some info from what the service used to offer.
Discover live transfer
No more uploads, no more downloads — files transferred directly from one device to another, no matter the distance.
No speed limits
Up to 10× faster than cloud-based solutions. Files aren’t uploaded to our servers — they go directly to the recipient.
End-to-end private
Files arrive safely and securely. The only limit is your network connection.