Formal:
* Rear entrance
* Service entrance
* Back door (this is fairly common and neutral)
* Secondary entrance
* Poste riore entrance
Informal:
* Back way
* Side door (if it's on the side of the building)
* Fire escape (if it's a fire escape)
Figurative/Slang:
* Back alley
* Secret passage
The best choice depends on your specific context and audience.