To survive, to endure.
He came through the surgery unharmed.
To be communicated or expressed successfully.
More information on the scandal is coming through now.
To succeed.
The team came through in the end and won the pennant.
(with an object preceded by the preposition for or with) To not let somebody down, keep or fulfil one's word or promise.
He really came through with a lawyer when we were in trouble.