You won’t find any “rankings” or anything because no one ranks undergraduate departments. Brown is the originator of the undergraduate neuroscience department (it was actually born out of a student’s independent concentration) and many schools still don’t have one. With Brown’s comparatively small graduate programs, you’ll get much more access to faculty and labs than you would at the more graduate focused institutions.
This textbook: http://www.amazon.com/Neuroscience-Exploring-Mark-F-Bear/dp/0781760038/ref=la_B001IGQQS0_1_1?s=books&ie=UTF8&qid=1428590587&sr=1-1 authored by 3 brown professors (although I believe Bear is no longer at Brown) is the textbook used by the intro neuro class (and I’ve even seen it used on medical TV shows when people are carrying around neuro books). I believe it’s considered to be one of, if not the best UG level neuro textbook.
Brown is where BrainGate was created (http://www.braingate2.org) by the Institute for Brain Science (http://brown.edu/academics/brain-science/)
Dr. Donahuge, one of the Brown profs, is part of Obama’s BRAIN advisory committee http://en.wikipedia.org/wiki/BRAIN_Initiative
And just for fun: http://www.browndailyherald.com/2013/04/05/neuroscience-grows-as-u-emphasizes-brain-science-research/