I'm assuming you're in the USA.
The most important thing you can do too prevent things like Bank Accounts, Credit cards, etc opened in your name is to lock your Credit History. Without access no one can open up any kind of account. You might also want to lock down your SS Account.
Here are some links to get you started.
https://www.consumer.ftc.gov/topics/identity-theft
https://www.consumer.ftc.gov/articles/what-know-about-credit...