He certainly doesn't have blonde hair and blue eyes. It is historically inaccurate to portray Him with such features. Some even regard such images of Him as racist.
A fewer number, it seems to me, regard as racist images of Him with African features (I am more fond of these images myself), but He is not African either.
He is a Middle Eastern Jew of the first century. But is it racist, or otherwise inappropriate, to depict Him as though He were a member of another race?
Icons are not images of what people look like. They are not and are not meant to be realistic images - at least not in the sense we tend to think of realism. They portray spiritual and theological realities over physical and historical realities.
|an Ethiopian icon of the Baptism of Jesus|
If I am an early Christian Ethiopian and I know that Jesus is my brother and Mary is my mother and I am a member of the Body of Christ, it is meaningful, then, for Jesus and Mary to look like I do. Why should He look like an alien if He and I are one?
One reason we might put forward is that He is an alien to all but Middle Eastern Jews. There is a spiritual and theological reality to be communicated by this fact too: "salvation is from the Jews" (John 4:22) - a too often neglected reality among Christians.
I believe there is something to be learned from every trait of Christ. He is human. He is male. He is Jewish. He lived in the Middle East in the first century. It all matters. Everything about Him matters. Each particularity is significant, for He is the Logos, the incarnate Word; His is the flesh of God.
The contemporary situation of the Church is somewhat changed, at least where I live. Members of other races no longer appear alien. We go to elementary school with Hispanics, Blacks, Whites, Asians, Jews and every race and are surrounded by a plurality of races all our lives.
In this situation, when we make an image of Christ for our churches, what racial characteristics ought He be given? Members of any race are liable to behold it, pray before it, contemplate His Holy Face. It seems to me that, in this situation, it is most sensible to portray Him as a Jew.
That being said, there are contexts and subcultures to consider and there can be great meaning in an image of Christ bearing the features of any race. He bore our offenses, after all; surely He can bear our features.