Sacrifices in New Testament

For me, it seems that some people believe that after Jesus's sacrifice on the cross, no other sacrifice needs to be made at all and in any condition. Yes, Jesus's sacrifice renews our relationship with God. However, it does NOT mean that sacrifice [θυσίαν = thysian] is NOT mentioned in the new testament.

Therefore, I urge you, brothers and sisters, in view of God's mercy, to offer your bodies as a living sacrifice, holy and pleasing to God--this is your true and proper worship. (Romans 12:1, NIV)

I beseech you therefore, brethren, by the mercies of God, that ye present your bodies a living sacrifice, holy, acceptable unto God, which is your reasonable [λογικὴν = logikēn] service. (Romans 12:1, KJV)

Living sacrifice. This verse makes me remember a statement: Worship is an act of sacrifice on the altar, not a performance on stage [1].

Through Jesus, therefore, let us continually offer to God a sacrifice of praise--the fruit of lips that openly profess his name. (Hebrew 13:15, NIV)

By him therefore let us offer the sacrifice of praise to God continually, that is, the fruit of our lips giving thanks to his name. (Hebrew 13:15, KJV)

Sacrifice of Praise. Giving praise/thanks becomes a sacrifice when we give praise/thanks to God in a difficult time. An example of this is given by sons of Korah: "Why, my soul, are you downcast? Why so disturbed within me? Put your hope in God, for I will yet praise him, my Savior and my God. (Psalm 42:11)"

And do not forget to do good and to share with others, for with such sacrifices God is pleased. (Hebrew 13:16, NIV)

But to do good and to communicate forget not: for with such sacrifices God is well pleased. (Hebrew 13:16, KJV)

Sacrifice in doing good and sharing/communicate. This verse reminds me that sometimes to do good or to communicate with others needs some sacrifices. 

For me, sacrifice is something difficult to be practiced by my strength. It does cost something. However, I believe that Jesus can enable our hearts to do sacrifices that are according to His will. He will not force us. He can teach us and change our hearts.

Note that "to obey is better than sacrifice (1 Sam 15:22)". In my opinion, obeying God has its own cost, which is often also a sacrifice of our own will.

[1] https://youtu.be/5-_fczbSeDQ