How do you say awake in Japanese?

Why not specify a usage for 'got' ? It can mean a million things...

Meaning 'became' it is 'natta' in casual Japanese. (nari mashita --> formal)

Meaning 'arrived' it is 'todoita' in casual Japanese. (todoki mashita --> formal)

Meaning 'received' it is 'moratta' also 'uketa' in casual Japanese. (morai mashita / uke mashita --> formal)

As for other usages and phrasal verbs, you will need to be specific.