Questions & Answers about Ο γείτονας έγινε πλούσιος.
Ο is the masculine singular nominative form of the.
It matches γείτονας, which is a masculine singular noun here, so ο γείτονας means the neighbor. In this sentence, ο γείτονας is the subject.
Because γείτονας is the nominative singular form, and the subject of the sentence has to be in the nominative.
Here, the neighbor is the one doing the action of becoming, so Greek uses ο γείτονας.
By contrast, γείτονα is typically the accusative singular, as in:
Βλέπω τον γείτονα. = I see the neighbor.
Έγινε is the aorist form of γίνομαι.
In this sentence, it means became or got:
Ο γείτονας έγινε πλούσιος. = The neighbor became rich / got rich.
The aorist is the normal Greek past tense for a completed event.