The character of Jesus Christ, was a reincarnated character in that he had to be reborn as another creature in the true sense of reincarnation.
I think this depends on what you believe about Christ's nature. If you believe he's God incarnate, then technically he wasn't reincarnated firstly because as God, he wasn't created and secondly, his nature as God didn't change, he just took on human flesh.
On the other hand, if you believe he pre-existed as an angel, then in a way there was a reincarnation.
John the Baptist was spoken of as Elijah come again.
This brings in another question for me, does one have to physically die in order to be reincarnated? Elijah just disappeared, it was his spirit that returned.
When Jesus had to deal with the disabled young man, he asked who had sinned, the parents of the baby. Presumably the child had sinned in a former life.
No, Jesus said that neither had sinned, he was born blind so that God's glory might be displayed through him
So, do you also think that reincarnation is a theme that is often missed in the Bible?
Possibly, if it means that the spirit/ego/being is recycled rather than the body. But are there enough examples? You could say that Jesus and Elijah/John the Baptist were unique 'occurences' which happened to fulfil specific missions for God.
Just my initial thoughts, I'll see what others say!