Collocations with become

become verb 

ADJECTIVES

accustomed
・His eyes were becoming accustomed to the dark.

famous
・Everyone wants to become famous.

popular, fashionable
・Cycling became popular at the beginning of the last century.

interested, excited
He became interested in philosophy at university.

angry, worried, unhappy, etc.
Pauline became concerned about her health and decided to see a doctor.
Virginia first became depressed at the age of 13, following the death of her mother.
He was becoming angry, and was staring fiercely at me.

tired, weak, ill 
I became very tired and I could not swim any more.
She became too ill to walk.

confident
She says the course has helped her become more confident as a businesswoman.

certain, sure, inevitable
War was becoming inevitable.

quiet, silent
The teacher waited for the class to become quiet.

hot, cold, warm, cool
The climate is likely to become warmer.

red, green, blue, etc.
His cheeks became red.

NOUNS

teacher, doctor, writer, etc.
She wants to become a doctor.

president, chairman, king, queen
Obama became president when he was 47.

man, woman, adult
 At 18, you legally become an adult in the UK.

member
Latvia became a member of the European Union.

part, feature
Chips became part of the British diet during the 19th century.

problem
Pollution has become a major problem.