These types are extremely common and yes sadly lots of people fall for them. Phishing is a very effective low tech (in most cases) way to get credentials or straight up money from people.
The FBI has estimated that about $12billion dollars have been lost to phishing in the last 5 years alone. Because it is so lucrative it's not likely to ever stop.
Phishing can come in the form of mail, text messages, fax, in person, email and phone calls (basically any form of communication).