badly, seriously, severely
completely
The car was found abandoned in the woods, completely burned out.

partially
easily
fair skin that burns easily

down, out
The factory burned down last year.

be burned alive
be burned at the stake
Joan of Arc was burned at the stake.

be burned to ashes, be burned to a cinder, be burned to a crisp
The tower was struck by lightning and was burned to a cinder.

be burned to death, burn to death
Several people were burned to death.

be burned to the ground
The building was burned to the ground.

fiercely
The fire was still burning fiercely.

steadily
slowly
Fresh leaves will burn slowly with billows of smoke.

burn out of control

brightly
Their torches burned brightly in the dark.

fiercely
Her eyes burned fiercely.

slowly
She could sense the anger burning slowly inside him.

with
He was burning with indignation.

Burn is used with these nouns as the subject:
acid, ambition, bonfire, candle, cheek, chest, cigar, cigarette, coal, eye, face, fire, flame, flare, furnace, fury, incense, lamp, lantern, log, lung, mob, muscle, petrol, rage, skin, sun, tear, throat, torch, wood

Burn is used with these nouns as the object:
calorie, carbohydrate, CD, CD-ROM, charcoal, coal, coke, disc, disk, DVD, fat, file, flag, fuel, hole, incense, lung, mouth, music, oil, remains, skin, throat, toast, waste, wood