Here is a great resource for graduate programs in Neuroscience that can be found at the Neuroscience Departments and Program Directory from the Society for Neuroscience. You'll find a list of universities with Neuroscience graduate programs, their contact information, and their departmental websites.
Please refer to this helpful video from the Dana Foundation on Applying to and Funding Neuroscience PhD programs.
Please find a list of Post-Baccalaureate Research Programs that should be helpful for Neuroscience students who might be considering graduate school. This is a great way to see what it's like to do research (before entering a graduate program)!