In the United States, people lost $57 million in just one year due to phishing attacks. Heck, the "Nigerian prince" scheme still takes in $700,000 a year. Phishing is a serious problem.
To protect yourself, don't open suspicious emails. If you receive an email claiming to be from a company you use, take a good look at the email address it came from. Many scammers try to mask their fake email with an official-sounding name, but there's always something off.
Secondly, if any company tells you to log in to your account for any reason, do not click the link they provide for you. If you want to visit the company's site, do so manually, like normal.
See the FTC's website for more tips and prevention measures about phishing.