Files Over Miles does simple, direct transfers in your browser
Choose a file to share, and FOM creates a hash-like URL for the transfer. Nothing starts moving until the receiver visits the URL and the client kicks in. Once that happens, your data is sent directly to the person at the other end. Nothing is stored on a server and transfers are fully encrypted.
FOM is free to use and will likely stay that way. Since you use your own bandwidth, their expenses should be fairly minimal.
The service works well, though I'd like to see integrated support for short URLs. For now, you can always use one of the options on Jay's big list to trim your link manually.