all-out, full-scale, large-scale, major, massive
In 1941, Hitler launched an all-out offensive against the Soviet Union.

military
a military offensive against the insurgents

guerrilla, terrorist
air, bombing
ground
diplomatic, government, propaganda
charm (figurative)
The politician has launched a charm offensive in an attempt to clean up his image.

launch, mount
plan
be on, go on, take
She took the offensive, challenging her critics to prove their allegations.

offensive against
The government is launching an all-out offensive against the drug cartels

be, seem
become
consider sth, deem sth, find sth, think sth
He's always making rude remarks about women. I find that deeply offensive.

extremely, fairly, very, etc.
deeply, downright, grossly, highly
potentially
deliberately
patently (AmE,law)
The material is patently offensive as measured by the standards for the broadcast medium.

morally
racially

to
This sort of attitude is very offensive to women.

Offensive is used with these nouns:
capability, foul, graffiti, language, line, manoeuvre, odour, operation, play, player, remark, smell, strategy, tackle, touchdown, weapon