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​)" 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 : budsgunshop.com/feeds/state_reg/new_york_restrictions.pdf

Under customer help at the top of the page. Drop down to useful tools, then you will see state restrictions.