VidMe is a new video site going live today. It lets people share videos privately with only people that you chose to view it. While videos on Facebook and YouTube can be set to where only certain people can see them, the process on VidMe is simpler because the purpose of this site is to keep your videos private as opposed to sharing them with everyone and anyone, as is usually the case on other sites.
The links can't be forwarded or downloaded and there is no limit on how many people can see your (private) videos (unlike YouTube) and you can track who you grant access to and add or delete viewers at anytime. Viewers can also see who else you have shared this video with so if you decide to make a comment, you know who will be able to view that comment.
Check it out here