Jesus came for sinners and those rejected by society

Scripture references

Matthew 8:1–13 (ASV 1901)

And when he was come down from the mountain, great multitudes followed him. 2And behold, there came to him a leper and worshipped him, saying, Lord, if thou wilt, thou canst make me clean. 3And he stretched forth his hand, and touched him, saying, I will; be thou made clean. And straightway his leprosy was cleansed. 4And Jesus saith unto him, See thou tell no man; but go, show thyself to the priest, and offer the gift that Moses commanded, for a testimony unto them.

5And when he was entered into Capernaum, there came unto him a centurion, beseeching him, 6and saying, Lord, my servant lieth in the house sick of the palsy, grievously tor...

Matthew 26:6 (ASV 1901)

6Now when Jesus was in Bethany, in the house of Simon the leper,

Luke 5:30 (ASV 1901)

30And the Pharisees and their scribes murmured against his disciples, saying, Why do ye eat and drink with the publicans and sinners?

Stories

David, a homeless man for six years walked up to Jim Cymbala after a church service. Contrary to Jim’s expectation, he wasn't seeking for money; he wanted Jesus in his life. David was led to Christ, rehabilitated, and had his life completely transformed. He got married, became a father and most importantly, a witness for Christ Jesus.
God specifically revealed the details of a prostitute to His servants during a prayer session. After praying for her over a period, she came to the knowledge of Christ surrendering her life to Him.