The Acts and Corinthians bits are from the NT.
Both items, however, are the words of Paul, rather than the words of Jesus. If you are looking for specific quotes from Jesus, I'll limit to the first four books of the NT, and not include Paul letters or Revelations. We're left with fairly little.
(Matthew 5:31-32) “It hath been said, whosoever shall put away his wife, let him give her a writing of divorcement: but I say unto you, that whosoever shall put away his wife, saving for the cause of fornication, causeth her to commit adultery: and whosoever shall marry her that is divorced committeth adultery”
(Matthew 15:19-20) "For out of the heart proceed evil thoughts, murders, adulteries, fornications, thefts, false witness, blasphemies: These are the things which defile a man: but to eat with unwashen hands defileth not a man."
(Mark 7:21-23) "For from within, out of men's hearts, come evil thoughts, sexual immorality, theft, murder, adultery, greed, malice, deceit, lewdness, envy, slander, arrogance and folly. All these evils come from inside and make a man 'unclean.' ""
(John 4:17-18), -"He (Jesus) said to her, "Go call your husband, and come here." The woman answered and said, "I have no husband." Jesus said to her. "You have well said, I have no husband' for you have had five husbands; and the one whom you now have is not your husband; this you have said truly." (she was living with a guy, but not married to him)
as an aside, while looking these up, I came across another OT line, which clearly denotes the separation between sex and marriage:
(Ex. 22:16). "And if a man entice a maid that is not betrothed, and lie with her, he shall surely endow her to be his wife. 17: If her father utterly refuse to give her unto him, he shall pay money according to the dowry of virgins"
Now, Jesus didn't completely get rid of the old (Hebrew) rules. He said that he didn't come to get rid of the law, but to fullfill the law. this leads to the confusing state of much of the old rules no longer applying, but others sticking around. Paul makes it clear that he still considers the OT's rules on sex and marriage as being valid, though not all the OT practices (like plural marriage) is acceptable.