SUNY Geneseo (Geneseo, NY)

Blake Hall and Steuben Hall are reportedly haunted.  Strange presences have been seen in both halls.  There have been unexplained noises heard and white apparitions seen.
There is no confirmation but it is said that a little boy fell to his death during the construction of Monroe Hall.  Since then he has reportedly been seen wandering the halls by students.

Marymount College of Fordham University (Tarrytown, NY)

Marymount College, a women's college, was founded in 1907 by Father Gailhac and Mother Butler.  It is reported that these founders still roam the halls of the dorms protecting the girls living there.  Before the college was built, Sacky House was located on the property.  Evil spirits are said to lurk in Sacky parking lot where Sacky House used to be located.  The most haunted dorms are said to be Gailhac Hall and Gerard Hall with reports of invisible bed guests, beds shaking and the constant feeling of being watched.

Concordia College (Bronxville, NY)

It is reported that all four dorms at Concordia College are haunted.  The stories aren't elaborate but are very simple and classic.  Bohm Hall, one of the two female dorms, is reportedly haunted by a girl who was raped in it many years ago.  It is not known if she died in the building as well.  The other female dorm, Rippe Hall, is said to be haunted by a little girl who lived in a house that was on the property before the dorm or college was built.  Feth Hall, one of two male dorms, is said to be haunted by its namesake, Reverend Doctor Henry Feth.  He is one of the more unfriendly spirits on campus.  Lastly, Sieker Hall, is said to be haunted by a pre-seminary student who died of pneumonia in the building many years ago.  
I have friends at this school who live on campus.  Several people have said they see odd lights and hear strange noises at night.  One friend even said she saw the little girl who haunts Rippe Hall.

SUNY Brockport (Brockport, NY)

Hartwell Hall on the college's campus is reportedly haunted.  Hartwell Hall was the first building on the campus and was originally used as a school for teachers, the Brockport Normal School.  Reports have mainly been made by the cleaning staff when they are alone in the building.  One staff member reported activity on one of the upper floors claiming that it sounded as if doors were opening and closing and there was laughter and voices in the halls.  Another reported being touched on the shoulder while cleaning but when she turned to see who was there with her, she saw no one.  When she was cleaning one of the ballet rooms, the same woman slipped and fell backwards off her step ladder.  She was caught by someone or something and placed gently on the floor, unharmed.  There was of course no one physically there.  Another report is that in the basement where the pool is located, people have heard unexplained splashing when no one is around.

New York University (Manhattan, NY)

Brittany Residence Hall of NYU is reportedly haunted.  The basement is very much like a labyrinth which obviously can make people feel uneasy.  In the rooms of the building students have reported hearing unknown footsteps in their rooms, seeing random light and hearing unexplained music.  Students have also reported feeling watched by someone or something.