Noah was relatively perfect. He led an overall righteous life, but he once got intoxicated, thereby becoming in some way exposed because of his error (Genesis 6:9; 9:20-27; Hebrews 11:7). Job was "perfect" (Job 1:1 KJV). However, Job had to repent in dust and ashes since he committed mistakes by overly defending his righteousness instead of God's (Job 42:6). John the Baptist's parents were perfect in a relative sense because they were Torah-observant Jews (Luke 1:5-6). Yet only God is perfect in the absolute sense without qualification. These words from J.A. MacDonald (Pulpit Commentary) are worth consideration:
"The power of man is formative. He can mould, he can combine, he can disjoin. He cannot create. He cannot destroy, God can create. He can reverse the act of creation."
As for Jesus, he was fully human (both Trinitarians and non-Trinitarians agree on that point). Yet he was separated from sinners, without sin, and morally unblemished: "He committed no sin, and no deceit was found in his mouth" (2 Corinthians 5:21; 1 Peter 2:22-23). Furthermore, Jesus was the unique/only-begotten Son of God (John 1:18; 3:16).
Regarding Matthew 5:48, much has been written on the verse, even by the organization of Jehovah's Witnesses. The simple answer is that Jesus was encouraging his disciples to be perfect (mature, complete) in love as Jehovah is perfect in love. Analogies don't presuppose that both things being compared are exactly the same. For instance, when Jesus states that his disciples should be one as he and his Father are one; the oneness in each case does not correspond exactly 1:1 (see John 17:21-23).
I think Jesus was perfect insofar as he was sinless just like Adam initially was. Christ was sinless, but that does not mean he was incapable of sinning--those are two very different things.