Jesus tells us not to be anxious over the necessities of life...which is like telling us not to breathe. Of course, as the One who defeats our greatest enemies of all, He teaches us this as the Son of God.
Jesus has a surprising message for those who are comfortable in thinking that everything is good between them and God. Without true repentance, there is no party.
Jesus reminds His disciples that righteousness is not in highly visible good works. The "hypocrites" (Pharisees) do that. Rather, true righteousness is not in ourselves at all, but rather is a gift from the Father in Jesus.
Jesus reminds His followers that bad things don't happen to bad people, but that all people need to repent and come to a knowledge of the truth before it's too late.
Jesus preaches the Mosaic Law in Matt. 5:27-48 and raises the bar of righteousness hopelessly higher than we can meet. Still, He hurdled the bar as He met the standard and gave up His life for us.
Jesus' Beatitudes are still spoken under the curse of the ashes of Ash Wednesday. His blessings and His gifts are for those who know the curse and admit it.