Possible ways to send files to Dropbox.

SendtoDropbox http://sendtodropbox.com/
AirDropper https://airdropper.com/
FileStork <snip> blog from the site says the service is closing down edit by ~thightower
Dropittome http://dropitto.me
Jot Form / Dropbox Forms http://www.jotform.com/dropbox/
DeliverBox http://signup.deliverbox.net/ They say you can get links for files up to 5GB so the files don't actually get to your Dropbox

More may be listed in the Dropbox wiki http://www.dropboxwiki.com/