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Jesus is (so the Christian religion holds) the universal human being: just as all of us form one human family which originally fell away from God -- that is, to use the language the Bible uses, all of us sinned in Adam's sin -- so likewise Christ has become a human being for all of us, to save us from our sin.
Originally Posted by schtoole
For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures; And that he was buried, and that he rose again the third day according to the scriptures: now is Christ risen from the dead, and become the firstfruits of them that slept. ...Christ is "the Word made flesh" (John 1:14), that is "God with us" -- God the Son come to be with us in human form as "God with us" (Matt. 1:23), so that "all who believe in Him may have everlasting life." For "God sent the Son into the world not to condemn the world, but that through Him the world might be saved" (John 3:16-17). And thus Jesus says "When I have been lifted up I will draw all people to myself" (John 12:32).
Since by man came death, by man came also the resurrection of the dead. For as in Adam all die, even so in Christ shall all be made alive. (I Corinthians 15, various verses
In all these senses, Jesus is the universal human being, and is for all of us. He (being God) identifies with us in all our troubles and weakness, and takes our own failings upon Himself. Thus it is natural that those who believe in Him should understand him in terms of their own life circumstances, and depict him that way.
Christianity is not a European religion. It began in the Middle East, and spread rapidly to Syria and Georgia, to North Africa and Ethiopia, throughout the Mediterranean, and even to India. Today, the majority of Christians live in Asia, Africa, and Latin America, where the church has spread rapidly among people particularly in the last half century, although its roots there are much older.
There are various historic representations of Jesus as more middle Eastern, or non-white, including traditional Ethiopian Icons, and other Eastern Icons. However, it is somewhat understandable that Europeans, not having (in past ages) much ethnographic information, depicted Jesus in terms of the people they knew. Since much of our artistic tradition is European, that means that many depictions of Jesus familiar to you are European-looking.
However, there are many non-Western Christian artist today. There are truly wonderful depictions of Jesus and his life which were done by and for the Mafa people of West Africa. These may be viewed at Jesusmafa.com. There is an important website of the Asian Christian Art Association which has many excellent Chinese, Indonesian, Indian, and other depictions of Jesus, including paintings by the Palestinian artist Zaki Baboun. There are many prints of Jesus' life (and other Biblical scenes) -- more abstract in their depictions -- by the (late) Japanese artist Sadao Watanabe (not to be confused with the rock star by that name). There are also Latin American depictions, and others which depict Jesus as a tan-colored person of no particular ethnicity. I can't find the urls just now -- this is a very busy period for me -- but if you request them, I can in a few days, or a week.
Blessings upon you!!