In Genesis 9:8-11, God made a covenant with Noah. Afterwards, Noah sinned by getting drunk (Genesis 9:20-21).
In Genesis 12:1-3, God made his first promises to Abram. Afterwards, Abram sinned by lying about Sarai being his sister (Genesis 12:11-13).
In Genesis 15, God Himself passed through the severed animals, making a covenant with Abram. Afterwards, Abram sinfully sought a child in his own strength through Hagar (Genesis 16).
In Genesis 17, God gave the covenant of circumcision to Abraham. Afterwards, Abraham sinned by lying about Sarah being his sister yet again (Genesis 20:2).
In Exodus 20, God made a covenant with Israel on Mount Sinai. Afterwards, Israel committed adultery against God on her honeymoon by making a golden calf (Exodus 32).
In 2 Samuel 7, God made a covenant with David. Afterwards, David committed adultery with Bathsheba and had her husband Uriah - one of David's mighty, loyal men - mercilessly killed (2 Samuel 11-12).
In Luke 22:20, Jesus told His disciples about the new covenant in His blood. Afterwards, the disciples sinfully disputed over which of them would be the greatest, and Peter denied Jesus three times with oaths and cursing.
Jesus, on the other hand, after telling the disciples about the new covenant in His blood, was perfectly obedient unto death on the cross. He rose triumphantly from the grave, conquering sin, death, and Satan so that all of those who would ever repent and believe in Him will be saved!
Where Adam failed, Jesus obeyed!
Where Noah failed, Jesus obeyed!
Where Abraham failed, Jesus obeyed!
Where Israel failed, Jesus obeyed!
Where David failed, Jesus obeyed!
Where Peter and the disciples failed, Jesus obeyed!
Where you and I have failed and will fail, Jesus obeyed!
Jonathan Leeman writes:
He [Jesus] is the God-man who has come as last Adam, Abraham's seed, the new Israel, and son of David. According to God's plan and by the Spirit's power, he has fulfilled God's covenants and so won all their blessings and promises. He has inherited the earth, [as the greater] Adam. His name has been made great and become a blessing to the earth, [as the greater] Abraham. He has won the promised rest, [as the greater] Israel. His throne is an everlasting throne, [as the greater] David's. But then, most remarkably and graciously, this God-man has declared a new covenant for all who repent and believe.
Therefore, I urge you, brothers, in view of God's mercy, to offer your bodies as living sacrifices, holy and pleasing to God - this is your spiritual act of worship.
My ideas for this post largely came from Iain M. Duguid, "Covenant Nomism and Exile," in Covenant, Justification, and Pastoral Ministry, ed. R. Scott Clark (Phillipsburg: Presbyterian and Reformed Publishing, 2007), 81 and footnote 38. Also, Jonathan Leeman, The Surprising Offense Of God's Love (Wheaton: Crossway, 2010), 241.