What kind of wiring/service are these wires for and how do I test them to find out?
They're almost certainly phone cables. Whether they're live or not is unclear from my chair. You can disconnect them one at a time and verify that you still have service. 

Phone and cable TV companies don't come back and remove wiring when service is cancelled. I've resorted to coiling up cables and hanging them on the pole in the alley, and when they weren't removed after several months I cut it off at head height and threw it away.