Q: "Why believe in Jesus? What does Jesus offer me?"
our A: Below are some of his statements made while on earth, in their context.
a way out of darkness -- "I have come as light into the world, that everyone who believes in Me may not remain in darkness."1
satisfaction, an end to our inner thirst -- Jesus therefore said to them, "Truly, truly, I say to you, it is not Moses who has given you the bread out of heaven, but it is My Father who gives you the true bread out of heaven. For the bread of God is that which comes down out of heaven, and gives life to the world." They said therefore to Him, "Lord, evermore give us this bread." Jesus said to them, "I am the bread of life; he who comes to Me shall not hunger, and he who believes in Me shall never thirst."2
direction in life -- Again therefore Jesus spoke to them, saying, "I am the light of the world; he who follows Me shall not walk in the darkness, but shall have the light of life."3
payment for our sin -- "The Son of Man did not come to be served, but to serve, and to give His life a ransom for many."4 He was teaching His disciples and telling them, "The Son of Man is to be delivered into the hands of men, and they will kill Him; and when He has been killed, He will rise three days later." But they did not understand this statement, and they were afraid to ask Him.5
abundant life -- Jesus therefore said to them again, "Truly, truly, I say to you, I am the door of the sheep. All who came before Me are thieves and robbers, but the sheep did not hear them. I am the door; if anyone enters through Me, he shall be saved, and shall go in and out, and find pasture. The thief comes only to steal, and kill, and destroy; I came that they might have life, and might have it abundantly. I am the good shepherd; the good shepherd lays down His life for the sheep."6
forgiveness of sin -- Some men came, bringing to him a paralytic, carried by four of them. Since they could not get him to Jesus because of the crowd, they made an opening in the roof above Jesus and, after digging through it, lowered the mat the paralyzed man was lying on. When Jesus saw their faith, he said to the paralytic, "Son, your sins are forgiven." Now some teachers of the law were sitting there, thinking to themselves, "Why does this fellow talk like that? He's blaspheming! Who can forgive sins but God alone?" Immediately Jesus knew in his spirit that this was what they were thinking in their hearts, and he said to them, "Why are you thinking these things? Which is easier: to say to the paralytic, 'Your sins are forgiven,' or to say, 'Get up, take your mat and walk'? But that you may know that the Son of Man has authority on earth to forgive sins...' He said to the paralytic, "I tell you, get up, take your mat and go home." He got up, took his mat and walked out in full view of them all. This amazed everyone and they praised God, saying, "We have never seen anything like this!"7
eternal life -- "All that the Father gives Me shall come to Me, and the one who comes to Me I will certainly not cast out. For I have come down from heaven, not to do My own will, but the will of Him who sent Me. And this is the will of Him who sent Me, that of all that He has given Me I lose nothing, but raise it up on the last day. For this is the will of My Father, that everyone who beholds the Son and believes in Him, may have eternal life; and I Myself will raise him up on the last day."8
For another answer to this question, please see the video: What will I gain for my life right now, if I believe in Jesus?
(1) John 12:44-46
(2) John 6:32-35
(3) John 8:12
(4) Matthew 20:25-28
(5) Mark 9:31-32
(6) John 10:7-11
(7) Mark 2:3-12
(8) John 6:37-40