You know the paradox of the title of the thread itself:
Jesus Christ came to die for, and thus save us from, our sins
Yet Christians are sinning every day, Muslims are sinning every day, all of mankind is sinning every day. So dying is not stopping anyone from sinning. What is the teaching here? Keep sinning and you are saved already?
a_ahmed, the Bible teaches neither that Jesus' sacrifice automatically stops us from ever sinning again, nor does it teach Christians that we can continue habitually sinning at will because we are already saved.
Jesus died for our sins so that we can be forgiven our sins and go to Heaven to be with God. But first, says the Bible, we must genuinely repent of our sins and accept Jesus Christ as our Savior and Lord. Accepting Jesus as Lord means we must obey Jesus and follow his commandments, which are summarized in loving God and loving one another.
You are right, Christians still sin though we no longer want to sin. The flesh, the world and Satan are still with us and around us. Jesus said in Mark 14:38 "Watch and pray so that you will not fall into temptation.
The spirit is willing, but the flesh is weak.” But it goes both ways: Christians also work hard to avoid sin and also do a lot of good works and help a lot of people. Why would Christians do all these good things when they believe that their salvation is already secured?
People who believe that Jesus died for our sins, that Jesus is our Lord, and who genuinely repent of our sins, don't want to sin again. We want to gradually become more like Jesus, speak as he did, act as he did, sin not, love God, love others, share his Gospel with others, help the needy, etc. We want to follow God's law, not to earn our salvation since we are already certain that we have it through Jesus, but because we want to be more and more like Jesus.
Romans 6:15What then? Shall we sin because we are not under the law but under grace? By no means!
1 John 2:1-31 My dear children, I write this to you so that you will not sin. But if anybody does sin, we have an advocate with the Father—Jesus Christ, the Righteous One.
2 He is the atoning sacrifice for our sins, and not only for ours but also for the sins of the whole world.