Does homeopathy work? Of course it does! And there is lots of evidence to prove it.
One place to begin is this list of research references provided by the renowned University of Arizona CAM researcher Iris Bell, MD, PhD. Another is the extensive list of articles provided on this site (scroll down to view them).
Here are some more fantastic resources to investigate:
Below are more selected journal articles, controlled and laboratory studies, cost effectiveness research, and books for you to check out.