With at
We use at with adjectives like good/bad/amazing/brilliant/terrible, etc. to talk about skills and abilities.
He's really good at English.
She's amazing at the piano.
They're terrible at organizing anything.
I'm not very good at drawing.
With about
We often use about with adjectives of feelings like angry/excited/happy/nervous/sad/stressed/worried, etc. to explain what is causing that feeling.
I'm angry about the decision.
He's nervous about the presentation.
She's excited about the new job.
They were worried about the exam.
With of
However, sometimes we use of with feelings.
She was afraid of telling her mum.
I'm frightened of having an accident.
He's scared of flying.
You should be proud of your progress.
With to
We can use to to show the connection between people or things.
He's married to the director.
I'm addicted to my phone.
I'm allergic to nuts.
It's similar to the old one.
We can also use to to talk about someone's behavior towards someone else.
They were really friendly to me.
Was he nice to you?
He is always polite to everyone.
She was very rude to the waitress.
Here are some other useful adjectives with prepositions.
With for
Exercise is good for you.
Stress is bad for you.
The town is famous for its cheese.
I'm responsible for the financial side of the business.
With in
She's interested in the project.
They want someone who's experienced in design.
I didn't want to get involved in the argument.