NY FLI is for paid family leave - a program similar to state disability insurance. This tax is federally deductible (though with tax reform changes it will be harder to see a tax benefit). You should choose "Other mandatory deductible state or local tax not on above list" - see screenshot below. Its a relatively new tax so its possible at some point in the future it may be added to the list similar to NJ FLI but there is no need to wait for an update as the tax treatment is the same with the above selection.
