Generations Bank Generations Bank was established in 1870 as Seneca Falls Savings Bank— a New York chartered mutual savings bank. In 2012, the bank’s name and the insurance agency’s name were changed to Generations Bank and Generations Agency respectively.   Generations Bank Service Telephone Customer Contact Center: 315.568.5855 833.971.3495 – toll-free Online Banking Login How to Log In 1. Visit the bank’s website https://www.mygenbank.com/.     2.  Click Login located to the upper right part of their page.    …