Example of cold burn is /are:
Frostbite
Trench foot in soldiers.
Immersion foot occurring in shipwrecked persons.
All of the above.
Cold burns include

Freezing injuries (frostbite)
Non-freezing cold injuries e.g. chilblain (localized painful erythema in the fingers, toes or ears produced by cold damp weather)
Trench foot seen in soldiers
Immersion foot occurring in shipwrecked persons.