Suppose you provide a false name and birthdate to a site like Facebook or some other online site that requires accurate information. You do not make any financial transactions or impersonate anyone (you use the name John Doe for example), and you are old enough to use the site in real life. Aside from permanently banning you from using their services (for violation of Terms of Service), can they legally do anything else? Are they likely to legally do anything else?
What if you were not old enough to use the site originally, but are now (say, you created an account at age 12, which is generally not old enough to use websites, but are now eligible)? What if your use of false information allows you to create multiple accounts in violation of the Terms of Service, but this does not lead to any damages? For example, suppose a social media site wants to prevent duplicate accounts, so it searches for users with the same name, birthdate, and IP address, but since you used your real name and birthdate on one and false information on the other, the social media site assumes these are different users.
Assume that this process never required making a fake ID.