Fridge and Freezer Beyond 冰箱
In mainland China, when people refer to 冰箱 or 电冰箱, it most likely means a fridge-freezer or a fridge/refrigerator. Freezer is formally referred to as 冰柜,冷柜, although it can also be orally referred to as 冰箱. 

雪柜 is 冰箱 in Hong Kong.



To sum up:

冰箱，电冰箱，雪柜 -> fridge, refrigerator, fridge-freezer

冰箱，电冰箱，雪柜 -> freezer (oral)

冰柜，冷柜 -> freezer (formal)

冷藏箱， 冷藏包 -> ice storage, ice chest

(冰箱)冷藏室 -> fridge

(冰箱)冷冻室 -> freezer

冷冻机 -> refrigerating machine



A useful tip:

冷藏 something means refrigerate something.

冷冻 something means freeze something.

Although 冷冻机 violates the above rules but there is no such thing called 冷藏机.