as a hopkins person, i m very biased, but Hopkins= best undergraduate/graduate neuroscience. One of largest majors , a lot of research activities, and active student groups.
http://neuroscience.jhu.edu/about/history-of-neuroscience/
Another program that is slightly less competitive than brown, hopkins, etc is emory. Emory is doing a lot of cutting edge research right now in neuroscience that average folks outside of academia don’t know about it. In terms of innovative neuro research, emory>>>>hopkins.
Just look at Helen Mayberg’s work, Also Tom Insel, a former head of NIMH, working for google now, he used to be a faculty member at Emory and set up a lot of interesting neurobehavioral research.
Also look at UCLA- i know their undergrad is large and it might be harder to get involved in research until you are junior compared to smaller private schools like emory,brown, or hopkins, but UCLA does an incredible amount of neuroscience research- including the human connectome project that’s a part of president obama’s brain initiative and the world renowned Semel Institute which is more prestigious than many neuro depts such as Stanford, Penn, Yale, etc is also a part of UCLA.
Another top/up and coming neuroscience program is USC. It’s private and smaller than UCLA so you will easily get more opportunities than UCLA. Also a part of the connectome project with MGH (Harvard’s hospital). A lot of cutting edge alzheimer’s research- they just stole a bunch of top researchers in the field from UCSD. They are putting a lot of $$ and new buildings are going up for neuroscience and undergrad ed. Plus a lot of shadowing and clinical opportunities through Keck and USC+LAC hospital. Very active pre med clubs.
http://www.humanconnectomeproject.org/about/collaborators/
http://dornsife.usc.edu/usc-neuroscience/
UCSD is one of most top funded neuroscience research depts in the country. Obviously a lot of pre meds,strong pre med opportunities, but neuroscience is a concentration within their bio major.
I am sure Brown is a great school esp for undergrads and a lot of individualized attention vs a lot of schools on my list, but in terms of their neuroscience research, they are nowhere near top, more of low to mid tier research program.