Collocations for busy - adj.

be, look, seem
become, get
keep, remain, stay (esp. AmE)
She needed to keep busy.

keep sb
I have enough work to keep me busy.

extremely, fairly, very, etc.
awfully, incredibly, terribly
especially, exceptionally, particularly, unusually
frantically, insanely
a little, slightly, etc.

with
She was busy with her make-up.

Busy is used with these nouns:
airport, calendar, city, day, executive, freeway, hand, harbour, highway, interstate, junction, life, lifestyle, month, morning, motorway, mum, night, office, period, place, port, professional, restaurant, road, schedule, shop, shopping centre, sidewalk, signal, street, timetable, town, trading, traffic, week