To locate some volunteer jobs in New York, you are required to log on some websites like childrenseyefoundation.org, newyorkcares.org or nyc.gov to check for classifieds in this field. You might also consider conducting a survey in your area to determine the voluntary programs you can join.
simply just ask around in places you would like to volunteer at, perferably an animal shelter would be great! (as i do that!) most people who have volunteers wont deny upcoming interested volunteers. simply just ask "do you guys do volunteer work?" if they say yes, ask about it and find in. if its an animal shelter, it might take some time before you actually start since you will need training, basic and hands on. it took them a month before i started, they were busy at the time and it was worth the wait! im heading out to volunteer ina bit! hope i helped!