What can I offer to Jesus?
The offerings (words and actions) one can give to Jesus include the following:
The time spent using one's talents to glorify Christ
The joyful and sometimes tedious aspects of human life (going to school, going to work, cleaning the house, going shopping, going to a doctor appointment, spending time with family and friends, etc.)
The time spent prayerfully studying one's faith
The time spent piously praying devotions
The time spent in a Holy Hour with the Eucharistic Christ
The time spent worshiping Jesus during the pious devotion of Benediction
The deed of doing penitential acts, such as abstinences, fasts, reparations and charitable giving
Important Note to Viewers:
The most powerful way to offer ourselves to Jesus for the redemption of souls is during the Sacrifice of the Mass. The reason why the Mass is so powerful, is because by the ministerial priesthood, through the power of the Holy Spirit, Jesus re-presents the Paschal Mystery (Christ's passion, death, resurrection and ascension into Heaven) in an unbloody manner by transforming bread and wine into His Body, Blood, Soul and Divinity! Simply put, the sacrifice of Jesus on the cross and the offering of bread and wine are one single sacrifice, making the Mass to be the most powerful and perfect instrument for us to give God the Father our offerings, and for us to receive graces from the Holy Spirit. Since the sacrifice of Jesus has so much power, when we offer ourselves in unison with Christ's offering of Himself at Mass, the Eternal Father will accept our offering, because He always accepts the perfect sacrificial offering of His only begotten Son, Jesus Christ, the Eternal High Priest (CCC-1366; CCC-1364; CCC-1365; CCC-1404; CCC-1367; CCC-1373; CCC-1374; CCC-1375; CCC-1412; CCC-1324; Romans 12:1; 1 Peter 2:4-5; CCC-1368; CCC-1369; Lumen Gentium 10; Lumen Gentium 11; Lumen Gentium 28; Live...The Holy Mass-Visions and Testimony of Catalina Rivas of Cochabamba, Bolivia; Paragraph 13 of ECCLESIA DE EUCHARISTIA by Pope John Paul II; excerpt of Christ the High Priest by St. Fulgentius of Ruspe; Paragraph 8 of DOMINICAE CENAE by Pope John Paul II).
Lastly, it is important to mention that Christ does not require offerings from us during and outside of Mass to be the means for Him to shower the world with graces. Since nothing is impossible for God, Christ accepts our offerings (words and actions) not for His benefit, but for our own.