I don't know what he looked like but he definitely had a bleeding heart.

From common dreams:

Jesus was the ultimate liberal progressive revolutionary of all history. The conservative religious and social structure that He defied hated and crucified Him. They examined His life and did not like what they saw. He aligned Himself with the poor and the oppressed. He challenged the religious orthodoxy of His day. He advocated pacifism and loving our enemies. He liberated women and minorities from oppression. He healed on the Sabbath and forgave adulterers and prostitutes. He associated with drunks and other social outcasts. He rebuked the religious right of His day because they embraced the letter of the law instead of the Spirit. He loved sinners and called them to Himself. Jesus was the original Liberal. He was a progressive, and He was judged and hated for it. It was the self-righteous religionists that He rebuked and He called them hypocrites."

The White people of the time were living far to the north and were still worshipping their pagan Gods. The chances of Jesus being White were very, very slim. Jewish, Arab or African possibly but White, like most of the pictures - very doubtful.

He was most likely brownish with an additonal tan from all those days of wandering.