ALBANY — Governor Pataki yesterday unveiled his plan for a massive expansion of genetic profiling to cover all felony and attempted-felony convictions, a measure that would add car thieves, tax evaders and drug offenders to the DNA databank’s current collection of violent criminals.

His bill, somewhat broader than the one he outlined in his state-of-the-state address three months ago, would require offenders convicted in prior years to provide DNA samples if they are still serving their sentences when the law takes effect.