Here are some examples:
Adverbs indicating time:
* already: He had already eaten breakfast when she arrived.
* just: I had just finished my work when the phone rang.
* previously: She had previously visited this city before.
* before: I had never seen snow before I moved to Canada.
* since: They had been married for five years since they first met.
* yet: He had not yet decided what to do.
* never: I had never been to Europe until last year.
Adverbial phrases indicating time:
* by the time: By the time she arrived, the party had already started.
* up to that point: Up to that point, she had always been a good student.
* until then: Until then, he had never experienced anything like it.
Other adverbial expressions:
* as soon as: As soon as she saw him, she knew she had made the right decision.
* immediately: Immediately after the meeting, he left the office.
* before long: Before long, they had become best friends.
Remember that the specific adverbial expression you use will depend on the context of the sentence and the nuance you want to convey.