As a rule I send phishing attempts to the real companies being spoofed.
I do that as well. The most common are phishing expeditions passing themselves off as banks, in which case I not only forward to the bank but also to my ISP. Anything generic, like "Visit this site because you've won a lottery", would just go to the ISP.
In either case, I would also immediately write a Rule instructing my email software to delete immediately any further correspondence from the phishers.
In olden days it was easy and straightforward to switch to "long headers", but I no longer can find any way to do that with any email client I use (eg, gmail).
I use Apple Mail and they make it as easy as falling off a log. Under "View" I select "Message" where I am given two choices - Long Headers or Raw Source.
I don't know how it would be done with other email software (I have only ever used Apple Mail) but I'm sure others visiting here should.