The common unaccented nonharmonic tones are the unaccented passing tone, unaccented neighboring tone, escape tone (occur only as unaccented nonharmonic tones) and anticipation (occur only as unaccented nonharmonic tones)
Handel: Minuet in G Minor, G. 242, mm. 13–16.
The opposite of a suspension is an anticipation. An anticipation occurs when a harmony note of the next chord is played early to create a dissonance, which is then resolved when the next chord arrives.