clear (esp. BrE), detailed, thorough (AmE)
daily (AmE)
news (AmE)
court, legal, planning (BrE)
intelligence, mission (AmE)
presidential (AmE)

prepare, produce, write
give
We were given daily briefs by the commander. (AmE)
I was given the brief of reorganizing the department. (BrE)

stick to (BrE)
He told me to stick to my brief (= do only what I was asked).

in a/the brief
She makes all these points in her brief.

outside sb's brief (BrE)
How the new policy is to be implemented is outside his brief.

brief on
a technical brief on food hygiene

be part of sb's brief (BrE)
It's not part of my brief to advise on financial matters.

hold no brief for sb/sth (BrE)
I hold no brief for either side in this conflict.

fully, properly (BrE), well

about
The men have been fully briefed about the intended mission.

on
Each member of my crew took turns to brief me on his particular duties.

Brief is used with these nouns as the object:
counsel, president, press, reporter

be
I promised to be brief.

keep sth, make sth
Could you make it brief? I have a meeting in ten minutes.

extremely, fairly, very, etc.
comparatively, relatively
necessarily
This necessarily brief account concentrates on two main areas.

mercifully
The wait was mercifully brief, little more than an hour.

tantalizingly
The diary entries were tantalizingly brief.

Brief is used with these nouns:
absence, account, acknowledgement, acquaintance, affair, analysis, answer, appearance, article, bibliography, biography, career, ceremony, chat, clip, comment, commentary, conversation, courtship, debate, delay, description, detail, detour, discussion, distraction, diversion, document, duration, encounter, episode, examination, excerpt, exchange, excursion, existence, experiment, explanation, exploration, exposure, extract, flare, flash, flicker, fling, flurry, glance, glimpse, guide, hesitation, honeymoon, illness, insight, inspection, instant, interlude, interruption, interval, interview, introduction, kiss, lapse, layover, letter, look, lull, meeting, mention, message, moment, nap, nod, note, outline, overview, paragraph, passage, pause, period, prelude, questionnaire, résumé, recess, record, reference, reflection, relationship, remark, reply, report, reprieve, respite, rest, return, review, romance, scuffle, second, shower, silence, sketch, skirmish, snatch, snippet, solo, space, span, speech, spell, spurt, statement, stay, stint, stop, stopover, summary, survey, talk, taste, tenure, tour, trip, truce, tussle, visit, walk, while