Are there any sites detailing current unsolved murders and disappearances--say dating from the last 5 years to the most recent cases, to this day?

I'm not sure of the exact URL but there is the Charley Project. And if you know what you're looking for you can search it on a video site that we are not allowed to mention on these forums.

Are there any sites detailing current unsolved murders and disappearances--say dating from the last 5 years to the most recent cases, to this day?

At www.websleuths.com they have many different boards you might find interesting. They have one titled "Hot Cases" that talks about current cases.