Is it Christ Jesus or Jesus Christ?

The word 'Christ' (from the Greek: 'christos'/Hebrew: 'messiah') is a title and means 'anointed one' (one set aside for a particular purpose), so one could say: 'the anointed one, Jesus' or 'Jesus the anointed one'...either is correct. For example:
Romans 1:8 - First, I thank my God through Jesus Christ for you all, that your faith is spoken of throughout the whole world.
Romans 8:1 - There is therefore now no condemnation to those who are in Christ Jesus, who do not walk according to the flesh, but according to the Spirit. [NKJV]

Another view:
Truly it is neither, Christ just means Messiah, but Jesus has no meaning, sorry, it is a made uo name from the Greek Iesous, there was no J's in Greek, Hebrew or even our English until the late 1600's. His real name is Yeshua and in English it would be Salvation. Edward would not be called Bill if he went to another country, it still would be Edward, so why did man change his name, Paul said they;d preach another Yeshua, a Blonde hair, blue eyed man name s Jesus who changed' God's Law, but in fact it was His Law, because He is the God from the old testament. He is Jewish, dark hair, darker skin that a white man, a little lighter than a black man, with brown eyes. And 1Peter 2:21 says He left us an example to follow in His steps, and that means you'll worship and do the things He did, so example means copy-imitate, so you'll look Jewish wither you want to or not.