Does Jesus ever claim to be God, or the son of God? While I understand there are many potential passages in the Bible of Jesus claiming to be a messiah (which I understand to mean "anointed"), a king, or one through whom it is necessary to know God, I'm interested to know if there are any places where He literally claims to be God, God-like, or related to God (i.e. the son of God).

Taking the Bible to be a reliable record of what He said (for the sake of this question), what Biblical passages illustrate Jesus literally saying He was God?

OP Edit: I see that my question has been edited to say "literally" which has caused a bit of turmoil, so I'll just say that for me "literally" is read to mean "literally stated, or inferred without interpretation". So "I intend to put on foot coverings" does not literally mean shoes, as it could mean socks, but "I intend to drive to the capital city of the country England" means you'll end up in London no matter which way you swing it. Interestingly I did try to ask the Biblical Hermenutics group this question and it was suggested I ask here.
There are many occasions on which Jesus states his identity with God.


John 8:51-59 Jesus says 


  John 8:58 (NIV) 
  "Before Abraham was, I am"


This is a clear
reference to the name of God. Even if there were any doubt that this
is the reference the reaction of the Pharisees clearly indicates
that (in their eyes) this is a blasphemous claim.
Matthew 9:1-7 Jesus claims to forgive sins, which the local officials (correctly) believed to be the perogative of God only.
Thomas the apostle calls Jesus "My Lord and My God", which Jesus does not correct or deny.
Also, we see this in John


  John 14:9b, 10a (NIV)
  ... Anyone who has seen me has seen the Father... Don’t you believe that I am in the Father, and that the Father is in me?

Matthew 26:63-64 


  The high priest said to him, “I charge you under oath by the living God: Tell us if you are the Messiah, the Son of God.” “You have said so,” Jesus replied.



(There is a certain amount of dispute over the last item.  Many interpreters take Jesus statement as a colloquial affirmative, though some take it as meaning "so you say").

Insisting that statements by Jesus be 'literal' is missing the point. If Jesus made a statement that equated himself with God in a way that was clearly understood as such by his hearers, then that is what he did. The fact that it requires a little interpretation to our twenty-first century minds doesn't make it any less a claim.