They are all common. It's the words on the left that you want to know about, correct?
Her boyfriend is well off. (He's rich, or at least has a well paid job and plenty in the bank!)
She consented to marry him. (She agreed to marry him. 'consent' sounds a little more formal here)
The doctor says my chronic fatigue is due to iron deficiency. (tiredness)
I resent having to pay 20% of my earnings to the tax man! (feel aggrieved/indignant. It's not quite the same as hate, but yes, you hate doing it!)
The menace of street crime often deters people from going out alone. (the threat of)
Nuclear war continues to menace the peoples of the world. (to threaten)
During the war many people collaborated with the enemy. (co-operated/negative way)
During the research many scientists collaborated to find a solution. (co-operated/positive way)
There are many types of disaster: storms, floods, famine, and plague.
This planet is constantly plagued by storms, famines, and war.
These are a few examples. Follow Michael's advice and search for example sentences online.