Cloud storage seems to be the new frontier, there are quite a few alternatives. Most start you at a small capacity for free and give you opportunities to increase that by inviting others to use the service. I have been a fan of DropBox for quite a few years now and it works very well for me and I have sufficient capacity there to handle most of my needs.
Today, I came across a new service, Copy, which starts a new user at 15GB and adds another 5GB when the user installs the desktop application for smooth synchronizing. That is 20GB for starters. After that, additional invites (like this one) will earn the referer 5GB for each new subscription. So, what are you waiting for? Point your browser to Copy and start your new, large cloud storage account.