Did Jesus accomplish in what He was sent to do?
Not all. His plan is still ongoing and He has yet to return to set up the Kingdom. He, Himself, alludes to this...
Luk 4:16 And he came to Nazareth, where he had been brought up: and, as his custom was, he went into the synagogue on the sabbath day, and stood up for to read.
Luk 4:17 And there was delivered unto him the book of the prophet Esaias. And when he had opened the book, he found the place where it was written,
Luk 4:18 The Spirit of the Lord is upon me, because he hath anointed me to preach the gospel to the poor; he hath sent me to heal the brokenhearted, to preach deliverance to the captives, and recovering of sight to the blind, to set at liberty them that are bruised,
Luk 4:19 To preach the acceptable year of the Lord.
Luk 4:20 And he closed the book, and he gave it again to the minister, and sat down. And the eyes of all them that were in the synagogue were fastened on him.
Luk 4:21 And he began to say unto them, This day is this scripture fulfilled in your ears.
This is a quote from Isa 61...
Isa 61:1 The Spirit of the Lord GOD is upon me; because the LORD hath anointed me to preach good tidings unto the meek; he hath sent me to bind up the brokenhearted, to proclaim liberty to the captives, and the opening of the prison to them that are bound;
Isa 61:2 To proclaim the acceptable year of the LORD, and the day of vengeance of our God; to comfort all that mourn;
Isa 61:3 To appoint unto them that mourn in Zion, to give unto them beauty for ashes, the oil of joy for mourning, the garment of praise for the spirit of heaviness; that they might be called trees of righteousness, the planting of the LORD, that he might be glorified.
Isa 61:4 And they shall build the old wastes, they shall raise up the former desolations, and they shall repair the waste cities, the desolations of many generations.
Isa 61:5 And strangers shall stand and feed your flocks, and the sons of the alien shall be your plowmen and your vinedressers.
Isa 61:6 But ye shall be named the Priests of the LORD: men shall call you the Ministers of our God: ye shall eat the riches of the Gentiles, and in their glory shall ye boast yourselves.
Isa 61:7 For your shame ye shall have double; and for confusion they shall rejoice in their portion: therefore in their land they shall possess the double: everlasting joy shall be unto them.
Isa 61:8 For I the LORD love judgment, I hate robbery for burnt offering; and I will direct their work in truth, and I will make an everlasting covenant with them.
Isa 61:9 And their seed shall be known among the Gentiles, and their offspring among the people: all that see them shall acknowledge them, that they are the seed which the LORD hath blessed.
Isa 61:10 I will greatly rejoice in the LORD, my soul shall be joyful in my God; for he hath clothed me with the garments of salvation, he hath covered me with the robe of righteousness, as a bridegroom decketh himself with ornaments, and as a bride adorneth herself with her jewels.
Isa 61:11 For as the earth bringeth forth her bud, and as the garden causeth the things that are sown in it to spring forth; so the Lord GOD will cause righteousness and praise to spring forth before all the nations.
Notice the quote in Luke stops half way through verse 2 in Isaiah? Pick it up from that point in Isaiah 61:2 and we see that He did not fulfill that portion of the prophecy, YET! It is coming.