The popularity of Netflix makes it a preferred subject for phishing emails sent to people appearing to come from Netflix in which you are told you need to update your credit card information or asking for other personal information.  Reproduced below is a copy of an email presently being circulated.  It looks legitimate, but it is easy to counterfeit the Netflix logo and make the email appear to be legitimate when it is not.  Two things can happen if you click on the link in the email.  Either you will be directed to a phony but legitimate looking website where you will be prompted to input your credit card information and thereby turn it over to an identity thief or, even worse, merely by clicking on the link, you will download keystroke logging malware that can steal all of the information from your computer and use it to make you a victim of identity theft.

TIPS
As I always say, “trust me, you can’t trust anyone.”  You can never be truly sure when you receive an email seeking personal information such as your credit card number whether or not the email is a scam.  The risk of clicking on a link or providing the requested information is just too high. Instead, if you think that the email might be legitimate, you should contact the company at a telephone number that you know is legitimate and find out whether or not the email was a scam.
Often telltale signs of a phishing email scam is when the email address of the sender is that of a private individual rather than the company purporting to be sending the email. This is due to the email being sent through a botnet of hijacked computers.  Poor grammar is another indication of a phishing email.  This often occurs because the scam may originate in a country where English is not the primary lanugage.
As for Netflix in particular, it will never ask in an email for any of your personal information so anytime you get an email purportedly from Netflix asking for your credit card number, Social Security number or any other personal information, it is a scam.  Here is a link to Netflix’s security page for information about staying secure in regard to your Netflix account.  https://help.netflix.com/en/node/13243