For "one more" or "different":
* Other: The most common synonym, often interchangeable with "another".
* Different: Emphasizes a distinction or contrast.
* Additional: Indicates something being added to an existing set.
* Further: Suggests a continuation or progression.
* Second: Specifying a particular alternative, usually after the first.
* Distinct: Highlights a clear difference.
* Separate: Emphasizes individuality or independence.
For "someone else" or "something else":
* Someone else: Explicitly refers to a different person.
* Something else: Explicitly refers to a different thing.
* A different: Specifies a particular alternative.
The best synonym depends on the specific context and intended meaning.
For example:
* "I need another cup of coffee." (Here, "another" means "one more")
* "There's another way to do it." (Here, "another" means "different")
* "I'm going to ask someone else." (Here, "another" refers to a different person)
Let me know the specific sentence you're working with, and I can help you find the most fitting synonym.