Faking your own death is the easy part. The tough bit is emerging from your charade as a new person. If you're in the US you need a new Social Security Number. You need a birth certificate to receive a SSN. Where do you get a birth certificate? Those sort of records are notoriously hard to find. You're not likely to get one just by asking. You can't use just anyone's either. If you use one from someone who's still alive, or worse already dead, you're back to zero and probably incarcerated for Identity Theft.
A popular "film method" is to get a birth certificate for an infant who died shortly after birth because, supposedly, Death Certificates aren't issued for infant deaths, or some such nonsense.
Unfortunately we all know that the movies aren't real life. It's easy enough to get a fake ID and live under an assumed name for a short period on time, but the first time you get pulled over for a minor traffic infraction, it's The Big House for you.