There is one main curse that I can think of in the Silmarillion:
The Curse of the House of Hurin was one of the most important curses ever "cursed" in Middle-earth. Thanks to that curse (issued by Morgoth) Turin ended up eventually marrying his sister and killing himself.
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But Melkor also was there, and he came to the house of Fëanor, and there he slew Finwë King of the Noldor before his doors, and spilled the first blood in the Blessed Realm; for Finwë alone had not fled from the horror of the Dark.
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