Policy analysis organizations will differ depending on your topic, but here are some places to start.
Most research organizations, think tanks, advocacy groups make their content and research available for free online. Their content, however, does not always rise to the top in a general Google search. You can use these pre-scoped search options to JUST search across these kinds of organizations.
The US Government is the largest publisher of information in the world. They publish data, research, reports, hearings, policy analyses, etc. and they can be rich sources of ideas and information. Their materials are largely available freely on the web but can be a bit tricky to find in a straight Google search (unless you limit your search to .gov web sites which you can do by putting .gov: in front of your search) Use the links below to get you started.