If you are still searching for those non ChexSystems banks and credit unions in your local area, here is a good directory. You can find some banks and credit unions by clicking the state links. And these lists are updated last month. If you find some banks or credit unions missed or wrongly listed, please make a comment here. And I’ll update it as soon as possible. Thanks.
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Note: It can not guarantee that you’ll be approved 100%. But the list can really useful. And if you fail, you are highly suggested to try more alternatives mentioned.