So by this, I assume you want to continue on with a PhD in Neuroscience. In that case, doing research in a neuroscience lab during undergrad will help with your grad school applications. Especially since the letter from your lab director will mean a lot.
You can also land a great PhD program by doing research in other areas. But the closer to neuroscience the better. Any type of wet lab experience would be valued.
The top labs programs in neuroscience are (in no particular order): Penn, Stanford, Boston U, Michigan, Brown, Princeton, UCSF, Baylor, Cold Spring Harbor, NIMH, UCLA, Harvard, Rochester, Duke, Columbia, Mayo Clinic, SUNY Stony Brook, Vanderbilt, WashU, Pitt
If you’re looking outside the US then also consider: Karolinska Institute, University College London, Kings College London, McGill, Oxford, U Toronto, U Melbourne
There may be others that I’ve missed, but these are the ones off the top of my head. Also take a look at Society for Neuroscience (SfN).