There are a few curses under the Law of Moses. For example,
15 “‘Cursed be the man who makes a carved or cast metal image, an abomination to the Lord, a thing made by the hands of a craftsman, and sets it up in secret.’ And all the people shall answer and say, ‘Amen.’
16 “‘Cursed be anyone who dishonors his father or his mother.’ And all the people shall say, ‘Amen.’
17 “‘Cursed be anyone who moves his neighbor’s landmark.’ And all the people shall say, ‘Amen.’
18 “‘Cursed be anyone who misleads a blind man on the road.’ And all the people shall say, ‘Amen.’
19 “‘Cursed be anyone who perverts the justice due to the sojourner, the fatherless, and the widow.’ And all the people shall say, ‘Amen.’
20 “‘Cursed be anyone who lies with his father’s wife, because he has uncovered his father’s nakedness.’ And all the people shall say, ‘Amen.’
21 “‘Cursed be anyone who lies with any kind of animal.’ And all the people shall say, ‘Amen.’
22 “‘Cursed be anyone who lies with his sister, whether the daughter of his father or the daughter of his mother.’ And all the people shall say, ‘Amen.’
The “curses” were not magical spells that gave bad luck (as the word is sometimes used today). They were statements of things that God condemned, and those who did them (and did not repent) would be cursed by being shut out of God’s kingdom.
Of course, these were all part of the ancient Israelite law which is no longer directly applicable to Christians. (See Does the law of Moses apply to Christians today?) However, all of these sins are also condemned in the New Testament. (See if you can find the relevant references.)
Another curse is given in Malachi 3 concerning tithing:
Will man rob God? Yet you are robbing me. But you say, ‘How have we robbed you?’ In your tithes and contributions. 9 You are cursed with a curse, for you are robbing me, the whole nation of you. 10 Bring the full tithe into the storehouse, that there may be food in my house. And thereby put me to the test, says the Lord of hosts, if I will not open the windows of heaven for you and pour down for you a blessing until there is no more need. (Malachi 3:8-10)
This curse involved God sending famine and disease on their crops. Again, tithing is part of the law of Moses and is not required of Christians today (see Where does the Bible say we are supposed to tithe?).
Of course, God still punishes people (e.g., 1 Cor 11:29-30) and that may be called a “curse”; and the curse of being shut out of God’s kingdom is still real and in force (e.g., 1 Cor 6:9-10).