Anything important from Jagex regarding your account will be sent to you from them within your in-game inbox. Any game updates you can navigate from directly within the official website. Any emails you receive regarding either of these I avoid entirely. Though a small few could be deemed legitimate, it's mostly from phishers hoping you open the email and click on the re-directed link. Granted, the link can be highlighted over for authenticity, it's still an un-needed risk.
Another common one as of late are the many Discord servers being thrown out on the social wellness of the comm