The neuroguide, a useful collection of websites related to neuroscience: http://www.neuroguide.com
The secret life of the brain: http://www.pbs.org/wnet/brain/
Neurotransmitter net: http://www.neurotransmitter.net/
The Dana foundation: http://www.dana.org/
Faculty for Undergraduate Neuroscience: http://www.funfaculty.org/

Two nice and informative general introductions into neuroscience, easy to read without too much special knowledge required. Well suited for beginners from a different academic discipline to get a first glance on what is taught in the program.

Ideal also if your relatives keep asking you what precisely it is you are doing now...

Kosmos Gehirn (German only): http://nwg.glia.mdc-berlin.de/de/info/cosmos.html
Brainfacts: http://www.sfn.org/index.cfm?pagename=brainFacts

And an interesting related link:
The accidental mind:  http://accidentalmind.org/

Mondofacto: http://www.mondofacto.com/facts/dictionary
Merriam Webster: http://www.merriam-webster.com/

The Allen institute: http://www.brain-map.org/
Brain atlas: http://www.med.harvard.edu/AANLIB/home.html

www.thehumanbrain.com
www.brainconnection.com
www.neuroanatomy.wisc.edu/virtualbrain/Index.html
http://www.loni.ucla.edu/

Anatomy dissections: http://www.anatomy.wisc.edu/courses/gross/

http://www.anatomie.net/

Online textbook on medical biochemistry: themedicalbiochemistrypage.org

Useful tool convert different weight units into concentrations and vice versa: http://www.molbiol.ru/eng/scripts/01_04.html

http://www.physics.csbsju.edu/stats/
http://www.statistics.com/

PSPP (Free and open-source replacement for the proprietary program SPSS)
R
Octave
SigmaPlot

Textbook on stats: http://www.statsoft.com/textbook/stathome.html

Statistics for non statisticans:
http://www.bmj.com/archive/7104/7104ed.htm
http://www.bmj.com/cgi/content/full/315/7105/422

http://www.kbraeuer.de/
http://mathworld.wolfram.com/
http://www.howeverythingworks.org/complete.html

Bookshelf at NIH: http://www.ncbi.nlm.nih.gov/books/

Science Books Online: http://www.sciencebooksonline.info/

http://groups.google.com/group/bionet.neuroscience/topics