Peter
A disciple, there was no apostle by that name.
Two people walked with Jesus to Emmaeus. One of them was Cleopas. The other is unnamed, but could have been either his wife Mary or the disciple Peter.
Cleopas is mentioned in Mark and Luke's version of the Gospel. He and a companion were on the road to Emmanus when Jesus appeared to them. The friend of Cleopas is not named.
Thomas, one of Jesus' 12 disciple's
Nathanael was sitting under a fig tree when Jesus saw him, as mentioned in the Gospel of John (John 1:48). Jesus remarked that he saw Nathanael under the fig tree before Philip called him.
Yes, John was a disciple of Jesus.
Yes, Timothy was a disciple of Jesus.
Simeon, who saw the baby Jesus, was neither an apostle or disciple. He was a prophet and teacher. Simon Peter was also referred to as Simeon, in which case he was both an apostle and disciple.
The two men on the road after Jesus' death were Cleopas and another disciple, as mentioned in the Gospel of Luke (Luke 24:13-35). They were discussing the recent events surrounding Jesus' crucifixion and resurrection when Jesus appeared to them, though they did not recognize him at first.
Jesus appeared to two men on the road to Emmaeus, but they did not recognise him. This occurs only in Luke's Gospel, which states that one of the two men was a disciple named Cleopas. The other appears to be Peter.
When Jesus first saw Levi He thought, "here is a man that needs salvation and understanding of the Gospel because I am going to call him to be my disciple and he will become an apostle." All Jesus saw was a man collecting taxes.
Judas Iscariot was the disciple who betrayed Jesus.