The title of this article so broad it implies that if you simply had a contact database (with no sensitive information) containing Mass residents that you'd have to file a security policy and encrypt every piece of information.
17.04: Every person that owns or licenses personal information about a resident of the Commonwealth and electronically stores or transmits such information...
Also many online shops allow you to save the info in case you want to reuse it in the future.
Similarly, if you're storing credit card numbers in plaintext in a database, shame on you! That's worse than storing plain-text passwords.
I think the worst parts of this law are the "you have to file with the Massachusetts government" aspects. The technical stuff is basically common-sense data security that everyone should already be doing.
This however "and perhaps the rest of the world" is complete FUD - noone outside of US cares about US state laws (unless you have some branch there of course - but then you already know you have a lot more paperwork to do).