Who are some examples of famous honest people other than Lincoln?

He isn't historically accounted for, exactly, but one person that comes to mind is the man from the Golden Axe story. A woodsmen accidentally drops his axe in a stream, which is too deep for him to reach. A water woman (fairy?) appears in the stream and holds up a gleaming axe, and asks if it is his. The man knows his axe is old and weathered, so he shakes his head. Next the water woman brings up a silver axe, to which the man claims no ownership of. Finally, she holds up a golden axe, and the man is tempted to say it is his, but he is honest and shakes his head. The water woman goes back into the water, then brings up all the axes, including the woodman's own, and gives them all to him, as a reward for his honesty. I'm not sure how well known this story is, though.

If you want real historical people you might look up local legends about individuals, or search through history textbooks.