I've got Office 365 through work, and I have my own subscription at home. Probably the biggest advantage for me of the home subscription is the terabyte of storage (which I use for backup of all documents on all my machines and mobile devices) - this storage is not owned by my company, nor can it be browsed or backed up by my company. If I leave my company, all of a sudden all my files stored there are now inaccessible. Under my home subscription, those files are around as long as I maintain my subscription.
Also of benefit for my home subscription is that I have shared it with my spouse and my parents, so each of them also gets the office suite and a terabyte of storage. Through work, it is only me.
Also useful, since between myself, my spouse, and my parents, we have more than 5 machines which we want to install the office suite onto. (an iMac, 4 laptops, an all in one, a surface pro tablet, android tablet, and android phone). I've loaded Office from my work subscription onto all the machines I use (2 laptops and the surface tablet, which all get Skype for Business), and loaded my personal subscription on all the other machines. This alleviates the limit of only installing on 5 machines, giving me up to 10 installs on PCs.