You can rent the whole rink, just enjoy public skating times or have a party or event there!
Image via bearmountainicerink.org
Lake Taghkanic has abundant snowmobile trails. You must ride on snowmobile trails but they are open to other uses as well.
Mount Peter in Warwick, NY is a charming mountain with a 600 foot multi-lane tubing park.
Image via facebook.com/MountPeter
Tubing, skiing, snowboarding, snowshoeing, hiking and cross-country skiing are all great activities for the whole family.