on schedule, on time
successfully
The project has now been successfully completed.

just, recently
We have recently completed a 10-year study.

fully, partially
I've fully completed my training.

accurately, correctly
Has the form been correctly completed?

Complete is used with these nouns as the object:
acquisition, arrangement, assessment, assignment, building, check, checklist, circuit, collection, conquest, construction, coupon, course, crossing, cycle, deal, degree, diploma, dissertation, doctorate, draft, duty, education, enquiry, errand, evaluation, exercise, form, formality, grade, high school, inspection, inventory, investigation, job, journey, lap, level, look, manoeuvre, manuscript, marathon, master, merger, mission, module, move, negotiation, novel, objective, orbit, order, outfit, painting, paperwork, pass, passage, phase, picture, preparation, procedure, process, programme, project, puzzle, questionnaire, quiz, renovation, repair, repetition, report, restoration, review, revision, revolution, ritual, round, rout, sale, schooling, semester, sentence, sequence, set, stint, study, survey, task, term, test, thesis, training, transaction, transformation, transition, treatment, trial, trip, voyage, work, workout

be, seem
survive
The book survives complete only in the second edition of 1533.

make sth
You've made my life complete.

remarkably
a remarkably complete account of the negotiations

very
A very complete index provides easy reference to topics in the book.

far from, less than, not quite
almost, essentially, largely, nearly, virtually
fairly, reasonably, relatively

be, seem

almost, nearly, substantially, virtually
The job is almost complete.

far from
not yet

Complete is used with these nouns:
absence, acceptance, accuracy, advantage, agreement, amateur, amazement, anarchy, annihilation, anonymity, answer, antithesis, astonishment, authority, autonomy, ban, beginner, bibliography, blockade, blockage, bore, break, breakdown, catastrophe, ceasefire, census, certainty, change, chaos, check, circle, circuit, clarity, closure, cock-up, coincidence, collapse, collection, comfort, command, commitment, confidence, confidentiality, conformity, confusion, consistency, contempt, contradiction, contrast, control, conviction, cooperation, cure, cycle, darkness, dedication, defeat, departure, dependence, description, despair, destruction, detachment, detail, devastation, devotion, disappearance, disappointment, disarmament, disarray, disaster, disbelief, discretion, disgust, disintegration, disorder, disregard, disrespect, document, dominance, domination, embargo, equality, examination, exclusion, exemption, exhaustion, explanation, failure, faith, farce, flop, fool, forgiveness, freedom, freeze, fulfilment, gamut, garbage, guide, halt, harmony, helplessness, honesty, idiot, ignorance, immunity, impartiality, inability, independence, index, indifference, information, innocence, integration, integrity, inventory, isolation, jerk, knowledge, lack, liberty, lie, list, loser, loyalty, lunatic, madness, mastery, mess, misery, misunderstanding, mystery, myth, nightmare, nonsense, novice, obedience, obscurity, omission, openness, opposite, outfit, outsider, overhaul, overview, package, panic, paralysis, physical, picture, privacy, protection, range, reappraisal, reconstruction, record, recording, recovery, refusal, relaxation, reliance, relief, removal, renovation, replacement, report, resolution, responsibility, rest, restoration, rethink, return, reversal, review, revision, revolution, rubbish, ruin, safety, satisfaction, seclusion, secrecy, segregation, sense, sentence, separation, sequence, seriousness, service, set, shake-up, shock, silence, sincerity, skeleton, solution, specification, specimen, spectrum, standstill, stranger, stupidity, submission, success, support, surprise, surrender, switch, text, theory, transcript, transformation, trust, truth, turn, U-turn, understanding, unity, unknown, version, victory, waste, withdrawal, work, wreck