General synonyms:
* Identical
* Equal
* Alike
* Similar
* Corresponding
* Equivalent
* Very (as in "The same thing happened again")
* One and the same
Synonyms emphasizing specific aspects:
* Precisely (for exactness)
* Exactly (for exactness)
* Uniformly (for consistency)
* Consistently (for consistency)
* Unchanged (for lack of difference)
* Unaltered (for lack of difference)
* Constant (for unchanging)
* Duplicate (for a copy)
The best synonym for "same" depends on the specific situation and what you want to emphasize.