Como dizer "enjoar-se de algo" em inglês

To be sick of and to be tired of are colloquial expressions that work well with repetitions.
I am sick of your complaints. (You complain too much.)
I am tired of hearing the same lies. (You lie too much and too often.)

To be bored with/of is more formal. It can often be used in place of sick or tired, but not always.
I am bored. I want to go somewhere interesting. Here sick or tired would not be clearly understood. (If you are sick, go home. If you are tired, rest.)

"To be jaded" is very formal. It is often used to refer to a series of similar life experiences.
After years of working as a prison guard, he became very jaded from hearing the same lies and excuses.

To be nauseous refers to a physical state.
You drink cachaca on an empty stomach and become nauseous (sick to your stomach).

I hope I have helped.