Synonyms for Aggress:

n.

storm, have at, go at, sail into, pitch into, strike, light into, beset. aggress (noun)
attack.

v.

attack (verb)
strike, storm, have at, beset, go at.
competition (verb)
attack.

Other synonyms:

beset. strike. attack
light into.
Other relevant words:
storm, have at, go at, sail into, pitch into, strike, light into, beset.