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Under customer help at the top of the page. Drop down to useful tools, then you will see state restrictions.
there is no list of NY legal rifles you will have to match the features against the banned feature list when you find on that you think is legal I would give the local FFL a call to double check the legality "The following are prohibited: ✘Semi-automatic rifles that can accept a detachable magazine and have one or more of the following features: 1. Folding / telescoping stock 2. Pistol grip 3. Thumbhole Stock 4. Fore-grip 5. Bayonet lug 6. Flash suppressor 7. Muzzle brake 8. Muzzle compensator 9. Threaded barrel 10.Grenade launcher 11.Over 10 round capacity ✘Any rifle with a magazine (including tubular) with a capacity greater than 10 rounds. ✔.22 LR caliber rifles of any action with tube-fed magazines of any capacity are permitted. (i.e. semi-automatic, bolt, lever, pump, or slide - does not include fully-automatic)" https://www.budsgunshop.com/feeds/state_reg/new_york_restrictions.pdf
Seems more like you will get a list of what is not allowed as opposed to finding what is allowed. link is to the safe act presentation for some help. https://safeact.ny.gov/sites/default/files/assets/documents/RiflesBannedFeatures.pdf Honestly your best bet in NY would be a local gun shop rather then online. Unfortunately you live in a state that is trying to ban firearms. One of the ways to do so is to make it incredibly difficult and/or expensive to obtain a firearm. This way most people quit and go home. Your local shop will only sell what is legal to own in your state.
Darryl, NY restriction guidelines are here : https://www.budsgunshop.com/feeds/state_reg/new_york_restrictions.pdf