Here is a summary of some of New York City's Public and Prviate Schools by Neighborhood.

Upper West Side

Private Schools

•  Abraham Joshua Heschel School 270 West 89 Street, http://www.heschel.org/
• The Alexander Robertson School 3 West 95 Street,  http://www.alexanderrobertson.com/
• Bank Street School for Children  610 West 112 Street, http://www.bankstreet.edu/
• The Calhoun School  433 West End Avenue, http://www.calhoun.org/
• The Cathedral School 1047 Amsterdam Avenue, http://www.cathedralnyc.org/
• Collegiate School 260 West 78 Street, http://www.collegiateschool.org/
• Columbia Grammar and Preparatory School 5 West 93 Street
• De La Salle Academy  202 West 97 Street http://www.delasalleacademy.com/
• The Dwight School  291 Central Park West, http://www.dwight.edu/
• Ethical Culture 33 Central Park West, http://www.ecfs.org/ 
• The Mandell School  103 West 96th Street, http://www.mandellschool.org/
• Metropolitan Montessori School 325 West 85 Street, http://www.mmsny.org/
• Professional Children's School 132 West 60 Street,  http://www.pcs-nyc.org/
• The Rodeph Sholom School 168 West 79 Street, http://www.rodephsholomschool.org/
• The Solomon Schechter High School of New York 1 West 91 Street,  http://www.sshsny.org/
• Speyer Legacy School  211 West 61 Street, http://www.speyerlegacyschool.org/
• St. Hilda & St. Hugh's School 619 West 114 Street,  http://www.sthildas.org/
• The Studio School 117 West 95 Street, http://www.studioschoolnyc.org/
• The Trevor Day School  1 West 88 Street,  http://www.trevor.org/
• Trinity School 139 West 91 Street, http://www.trinityschoolnyc.org/
• York Prep  40 West 68^th Street, http://www.yorkprep.org/

Public Schools

• King Arts and Technology HS 122 Amsterdam Avenue
• Fiorello H. LaGuardia High School 100 Amsterdam Avenue
• Beacon School 237 West 61st Street
• West Manhattan Outreach Center 850 Tenth Avenue
• Environmental Studies High School Career Education Center West 56th Street
• Landmark High School Coalition School for Social Change 220 West 58th Street

Upper East Side

Private Schools

• The Allen-Stevenson School  132 East 78 Street,  http://www.allen-stevenson.org/
• The Beekman School and Tutoring Center  220 East 50 Street, http://www.beekmanschool.org/
• The Birch-Wathen Lenox School  210 East 77 Street, http://www.bwl.org/
• The Brearley School  610 East 83 Street, http://www.brearley.org/
• The British International School of New York  20 Waterside Plaza,  
• The Browning School  52 East 62 Street, http://www.browning.edu/
• The Buckley School  113 East 73 Street, http://www.buckleyschool.nyc.org/
• The Caedmon School  416 East 80 Street, http://www.caedmonschool.org/
• The Cathedral School  319 East 74 Street,
• The Chapin School  100 East End Avenue, http://www.chapin.edu/
• Convent of the Sacred Heart  1 East 91 Street, http://www.cshnyc.org/
• The Dalton School  108 East 89 Street, http://www.dalton.org/
• The Family School  323 East 47 Street, http://www.amshq.org/
• The Geneva School of Manhattan  583 Park Avenue http://www.genevaschool.net/
• The Hewitt School  45 East 75 Street, http://www.hewittschool.org/
• La Scuola D'Italia Guglielmo Marconi  12 East 96 Street, http://www.lascuoladitalia.org/
• Loyola School  980 Park Avenue, http://www.loyola-nyc.org/
• Lycee Francais de New York  505 East 75 Street, http://www.lfny.org/ 
• Lyceum Kennedy  225 East 43 Street, http://www.lyceumkennedy.org/
• Manhattan Country School  7 East 96 Street, http://www.mcs.pvt.k12.ny.us/
• Marymount School of New York  1026-1028 Fifth Avenue,  http://www.marymount.k12.ny.us/ 
• The Nightingale-Bamford School  20 East 92 Street, http://www.nightingale.org/
• Philosophy Day School  12 East 79 Street, http://www.philosophyday.org/
• Rabbi Arthur Schneier Park East Day School  164 East 68 Street, http://www.parkeast.org/
• Ramaz School  60 East 78 Street, http://www.ramaz.org/ 
• Regis High School  55 East 84 Street, http://www.regis-nyc.org/ 
• The Rudolf Steiner School  15 East 78 Street http://www.steiner.edu/ 
• Saint David's School  12 East 89 Street http://www.saintdavidschool.org/
• The Solomon Schechter School of Manhattan  50 East 87 Street,  http://www.sssm.org/ 
• The Spence School 22 East 91 Street http://www.spenceschool.org/ 
• St. Bernard's School  4 East 98 Street http://www.stbernards.org/ 
• The Town School  540 East 76 Street www.thetownschool.org
• The Trevor Day School  11 East 89th Street http://www.trevor.org/
• United Nations International School  24-50 FDR Drive, http://www.unis.org/

 Public Schools

• Hunter High School 71 East 94th Street 
• Louis D. Brandeis High School 145 East 84th Street
• Eleanor Roosevelt HS (CSD 2) 411 East 76th Street
• Richard R. Green HS of Teaching 421 East 88th Street

Downtown

Downtown Private Schools

• Academy of St. Joseph / 111 Washington Place, http://www.academyofsaintjoseph.org/
• Blue School/ 432 Lafayette, Mezzanine, http://www.theblueschool.org/
• The City & Country School / 146 West 13 Street, http://www.cityandcountry.org/
• Claremont Preparatory School / 41 Broad Street, http://www.claremontprep.org/ 
• Ecole Internationale de New York / 111 East 22 Street,  http://www.einy.org/
• Friends Seminary / 222 East 16 Street, http://www.fsnyc.k12.ny.us/
• Grace Church School / 86 Fourth Avenue, http://www.gcschool.org/
• Little Red Schoolhouse and Elisabeth Irwin High School / 40 Charlton Street, http://www.lrei.org/
• St. Luke's School / 487 Hudson Street, http://www.stlukeschool.org/
• Village Community School / 272 West 10 Street, http://www.vcsnyc.org/

Downtown Public Schools

• Liberty High School 250 West 18th Street
• School for the Physical City 55 East 25th Street
• Manhattan Village Academy Ballet Tech (Sep. Location) 43 West 22nd Street
• Baruch College Campus High School (CSD 2) 17 Lexington Avenue
• American Sign Language and English Dual Language High School (new) 225 East 23rd Street
• School of the Future (CSD 2) 127 East 22nd Street
• Legacy School for Integrated Studies 34 West 14th Street
• Washington Irving High School 40 Irving Place
• Manhattan Comprehensive Night & Day School 240 Second Avenue
• Institute for Collaborative Education Health Professions & Human Services HS 345 East 15th Street
• 53 East Side Community High School 420 East 12th Street
• BARD HS/Early College 525 East Houston Street
• Lower Manhattan Outreach Center City-As-School 16 Clarkson Street
• Chelsea Career and Technical Education High School 131 Avenue of the Americas
• Unity High School at The Door Second Opportunity HS 121 Avenue of the Americas
• Cascades Center for Teaching & Learning Satellite Academy 198 Forsyth Street
• Lower East Side Prep School (CSD 1) Marta Valle Model School Project (HS Level) 145 Stanton Street
• Stuyvesant High School 345 Chambers Street
• Seward Park High School 350 Grand Street
• University Neighborhood High School 200 Monroe Street
• Murry Bergtraum High School 411 Pearl Street
• High School for Economics & Finance 100 Trinity Place
• High School for Leadership & Public Service 90 Trinity Place
• Millenium HS 75 Broad Street
• Wildcat Academy Charter School 17 Battery Place