General synonyms:
* Softly
* Silently
* Hush
* Still
* Discreetly
* Secretly
* Subtly
* Unnoticed
More specific synonyms:
* For sound: hushed, muted, muffled, subdued
* For movement: stealthily, furtively, cautiously, unobtrusively
* For emotion: calmly, peacefully, serenely, gently
* For speech: whispering, murmuring, mumbling, in a low voice
The best word to use will depend on the specific situation and the meaning you want to convey.