In NY you do not get new plates - you get a antique/historic vehicular registration. I think there were limitations on “type of travel”. You must get annual inspections.
In NY you have a choice of regular plates, “Historical” issued plates or “Vintage” plates. Both Historical and vintage plates have travel restrictions, mileage, to and from events, occasional jaunt, etc. Regular plates have no restrictions but also come with much higher insurance premiums. In most cases you are required to run two plates but there is an exception. In some years (wartime for one), only one plate was issued so in those cases only one vintage plate is required.
As Tim has stated, you must get annual inspections.