angellist.com has been getting lots of publicity lately.

Where are you located? There are often local angel groups, and regional business development organizations which can be helpful in finding angels.

If there is a local start-up scene, go to the meet-up events.

You have a bit of a conflict in your question thought. You ask how to find'local investors' and then as what the best websites are.

With the exception of angellist (which I haven't tried) I suspect that he best way to find local investors isn't online .