major, nasty, terrible
a major health scare

food, health
AIDS, cancer, etc.
pregnancy
bomb
terror, terrorism, terrorist

cause
give sb
It wasn't a serious heart attack, but it gave him a terrible scare.

get, have

campaign, story, tactics
The ad uses scare tactics to get people to stop smoking.

scare about, scare over
the scare over bird flu

a bit of a scare, quite a scare
I got quite a scare when the police called me.

really
easily
He doesn't scare easily.

away, off
His name scares off a lot of people.

try to, want to
start to

into
They're just trying to scare us into letting out the secret.

with
You don't scare me with your threats!

scare sb silly, scare sb stiff, scare sb to death (all informal)
The very thought of flying scares me stiff.

scare the life out of sb, scare the living daylights out of sb (both informal)
You scared the life out of me, hiding like that!

scare the pants off sb (informal, esp. AmE)

Scare is used with these nouns as the object:
investor