Though email storage has evolved over time from the meager 2MB Yahoo provided once upon a time to the enormous amounts you have now. Though the storage space has gone over the roof the size of the attachment you can send with a mail has not seen the same changes.
The maximum attachment sites for most email providers is about 20MB which will very well allow you to send up to 5 MP3 files but not a huge video you shot with your camera.
Send files up to 2 GB
In comes filemail a service which allows you to send attachments of up to 2 GB without even registering on the site, to top it you can even use your existing email account to send the emails. The service also allows you to choose and select multiple files for uploading.
The thing to note is that the target email account you will be sending the files to will not receive the actual files but instead receive a link to a secure download page from where they can download the files.
Though the service has not achieved something by rocket science there are various other services like this which allow users to share huge files with others, many of which we have already covered here, here, here and here.
I wonder in coming days we would see sites which come up with a 5GB alternative ;).