There's no timetable on NYC subway restoration or PATH trains, but some of the NYC buses are back up and running according to the MTA's twitter
Service restorations! These
#StatenIsland bus routes are now operating: S40, S46, S48, S53, S59, S61, S62, S74, S78, S79 SBS
Service restorations! These
#Queens bus routes are now operating: Q4 Q6 Q7 Q10 Q12 Q22 Q23 Q25 Q33 Q35 Q46 Q50 Q60 Q65 Q66 Q69 Q101 Q113
Service restorations! These
#Brooklyn bus routes are now operating: B1, B3, B15, B35, B41, B44, B46, B61, B82, Q58, Q59
Service restorations! These
#Bronx bus routes are now operating: Bx1 Bx6 Bx7 Bx8 Bx10 Bx12+SBS Bx16 Bx23 Bx27 Bx36 Bx38 Bx40 Bx41 Bx55 Q50
Service restorations! These Manhattan bus routes are now operating: M2, M5, M8, M11, M14, M15+SBS, M34, M34A, M22, M57, M60, M86, M96, M101
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fyi, they're also all free today and tomorrow