Does Jesus say that he is God? Where in the Bible does Jesus actually say He is the LORD God and that men should worship Him?
Jesus says, in front of the scribes and Pharisees, something that they all plainly recognize, and it is something that they feel is worthy of killing him for "blasphemy" over.

What Jesus said is "Before Abraham was, I AM."  By saying this, Jesus called Himself, the LORD God Almighty, and the Jewish teachers, scribes and Pharisees recognized it immediately because they wanted to kill him because of it.

John 8:48-59King James Version (KJV)

48 Then answered the Jews, and said unto him, Say we not well that thou art a Samaritan, and hast a devil?

49 Jesus answered, I have not a devil; but I honour my Father, and ye do dishonour me.

50 And I seek not mine own glory: there is one that seeketh and judgeth.

51 Verily, verily, I say unto you, If a man keep my saying, he shall never see death.

52 Then said the Jews unto him, Now we know that thou hast a devil. Abraham is dead, and the prophets; and thou sayest, If a man keep my saying, he shall never taste of death.

53 Art thou greater than our father Abraham, which is dead? and the prophets are dead: whom makest thou thyself?

54 Jesus answered, If I honour myself, my honour is nothing: it is my Father that honoureth me; of whom ye say, that he is your God:

55 Yet ye have not known him; but I know him: and if I should say, I know him not, I shall be a liar like unto you: but I know him, and keep his saying.

56 Your father Abraham rejoiced to see my day: and he saw it, and was glad.

57 Then said the Jews unto him, Thou art not yet fifty years old, and hast thou seen Abraham?

58 Jesus said unto them, Verily, verily, I say unto you, Before Abraham was, I AM.

59 Then took they up stones to cast at him: but Jesus hid himself, and went out of the temple, going through the midst of them, and so passed by.

(stoning here was a method of capital punishment, and the fact that they began to do it, meant that they had judged what He said as worthy of death, since He had called Himself God.) King James Version (KJV)

(Before Abraham was, I AM is a direct reference to God as the Jews knew Him, and is how God expressed Himself when He spoke to Moses and told him whom to say, 'sent Moses' to Pharoh / Ramses)