You'll never have to take a baseball bat to a fax machine again. Use the iFax app to scan documents via your tablet's camera, then fax them directly to real fax numbers. This is similar to a document-scanning app, but you can send to fax machines rather than going through email. iFax is free to download, but powered by in-app payments: 99 cents for five pages, $1.99 for 10 pages, $2.99 for 15 pages, up to $17.99 for a one-month subscription. You can also receive faxes via iFax, though that costs $27.99/month.
This app offers more reason to kill the fax machine. Back in the days before storage giants like Google Drive and Dropbox, or using email attachments, YouSendIt was the go-to tool for sharing large documents with other people. It's very handy for one-off sharing of big files, especially with someone who's not yet hip to other cloud services. You can stash 2GB of files on its servers and get 50GB of transfers for free, or pay $14.99/month for additional storage and security.
Let Grandma keep clipping newspaper stories. You, on the other hand, should try Pocket, formerly known as Read It Later. Save articles, Web pages, and videos offline to view later. Once content is saved, it syncs to the cloud. This is great for road trips and commutes when you're offline; instead of spending hours surfing cool stories at work, just "pocket" what looks interesting and read them on the way home. Using a Windows 8 tablet? Pocket runs in the browser, or you can try an alternative like InstaFetch.