To actually reach the speed of light you'd be massless, so the only damage, would be from momentum transfer, at which point your particles would be reflected or absorbed like light.
But that aside, mostly I was referring to your statement:
'Speed of Light' compared to what?
Which is really not a concern. It's the speed of light for everyone with respect to everything, or it isn't the speed of light. Like, two beams of light going in opposite directions don't see the other light beam going at 2x the speed of light, just at the speed of light with lots of time dialation.