What's the term for someone that likes Jesus of Nazareth, but doesn't identify with church, religious dogma, or whatever?
They think, "Jesus was cool. I like him, and I'm gonna try to be like him." Kind of like their guiding light is what would Jesus do? But there isn't a focus on identification, recruiting others, judging others based on their religion, fear of God, fear of punishment for sinning, respect for clergy as an authority, rituals, worship, etc. Basically, just the example of Jesus' life.
There is a lot of good messaging in the Bible, the Quran, the Torah, etc. You don't need to be religious to appreciate that. Just like how somebody who appreciates in the mission and words of The Amazing Randi does not need a special label.
The labels start to come into play when discussing your belief or disbelief in a god or gods.
While not a term maybe a short blurb like "While I am not religious, I admire many of the lessons of Jesus as portrayed in the Bible, and I try to model parts of my life after his example."
If applicable you can also add "Along with others I consider to be positive examples for leading a good and virtuous life."