Verbs

(v)busy, occupykeep busy with“She busies herself with her butterfly collection”

Adjectives

(a)busyactively or fully engaged or occupied“busy with her work”, “a busy man”, “too busy to eat lunch”
(s)busy, fussyovercrowded or cluttered with detail“a busy painting”, “a fussy design”
(s)interfering, meddlesome, meddling, officious, busy, busybodiedintrusive in a meddling or offensive manner“an interfering old woman”, “bustling about self-importantly making an officious nuisance of himself”, “busy about other people's business”
(s)busycrowded with or characterized by much activity“a very busy week”, “a busy life”, “a busy street”, “a busy seaport”
(s)busy, engaged, in use(of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; (‘engaged’ is a British term for a busy telephone line)“her line is busy”, “receptionists' telephones are always engaged”, “the lavatory is in use”, “kept getting a busy signal”