Identity theft: You have to verify your identity for the job, but in reality they trick you into handing over personal data, your SSN or id scans or completing some actual identity verification – that isn't just copying pixels or numbers – where you think you are verifying for the job offer, but in reality you complete the verification for e.g. opening a bank account in your name that they then control. Of course the identity verification service should check that you really know what you are verifying for, but that doesn't mean they actually do or the scammers might have some excuse to explain the discrepancy; like you get a job at a bank and to start working you have to open an account with them because salary or benefits get credited there. Helpfully they create the account for you and all you have to do is do the identity verification.
Variations of advance fee scams: Can be simple like you got a job but have to pay a fee to the head hunting agency that you'll get reimbursed on top of your first salary from your new employer of course, or more advanced: Your job involves buying products or services and testing or auditing them.
Money mules and laundering: As part of your job you have to forward money between your and external accounts. This is less obvious than the advance fee. You get the money first, you just don't know that you are funnelling the money from other scams to the scammers.
These things might seem easy to see through in theory, but they prey on desperate people in hardship. You believe to have finally found a job and all seems well during the onboarding process. Maybe it takes a little longer with a little back and forth or multiple interviews until you are emotionally invested into the job offering. Of course it seems weird that you have to pay out of your own pocket for a product you do QA testing for before you receive any money from them. But you have to deliver if you want to keep the job. After all they have many more options of applicants to choose from while for you this is the only job offer you got after months of searching.