There are many organizations working to promote the issues concerning Palestine, the people and the conflict. Here is a selection, and just because I list them, does not mean I endorse them!
Palestine Prisoner Society
Palestine Monitor
LAW: The Palestinian Society for the Protection of Human Rights & the Environment
Al-Haq: Human Rights in Palestine
Mezan Center for Human Rights
B'tselem - Israeli Human Rights Group
Gaza Community Mental Health Project (GCMHP)
Health Development Information and Policy Institute (HDIP)
The Palestinian Initiative for the Promotion of Global Dialogue and Democracy (MIFTAH)
Palestinian Central Bureau or Statistics
Palestinian Economic Council for Development & Reconstruction
Palestinian Independent Commission for Citizens' Rights
Palestine Red Crescent Society
Palestinian Working Women's Society for Development
The Union of Palestinian Medical Relief Committees
The United Nations Relief and Work Agency for Palestinian Refugees in the Near East (UNRWA)
Women's Center for Legal Aid and Counseling