identify

There are a lot of good synonyms for identify—which one to use depends on what exactly you want to mean. Here are some of the main ones:

• recognize—to be able to tell what something is (and often to know its name), as in He immediately identified/recognized it as a monarch butterfly. 
• diagnose or pinpoint, as in My mechanic was finally able to identify/diagnose/pinpoint the problem. 
• associate, such as with a certain group or belief, as in She’s known for identifying/associating with the party’s reform wing. 
• distinguish, as in Her height identified/distinguished her as the volleyball player. 
• establish (who someone is), as in He has been identified/established as the main suspect. Relatedly, to identify someone is to figure out who they are—to establish their identity.

Sometimes, to identify in some way means to consider some characteristic as an inherent part of your identity (and perhaps to make this publicly known), as in I identify as nonbinary or She proudly identifies as Mexican American. Another way to express this is simply by using forms of the verb be, as in I am nonbinary.