I have a large American-style fridge/freezer. I measured the power consumption, and it came out as an average of 70W, or 1.68kWh/day. For the size of fridge, this isn't bad. However, I was slightly surprised to see that this was more than our use of electricity for all cooking activities - that is, oven, kettle, microwave, slow cooker, toaster. I have a gas hob - if this were not the case, I suppose it would be the other way around.
But still, that one fridge was a very significant portion of the total house electricity use.
I have a separate freezer/fridge and they amount to about the same as a standard European sized fridge (so no double door US style things) and the freezer uses about 63W when on and the fridge about 58W. I guess the compressors are of the same order but the freezer simply runs longer. Daily usage is about 0.9-0.92kWh. Less if you don't open them, more if you put something in the freezer/fridge which is not cold.
I tried measuring if getting a new one would save power and was affordable somewhat cost effective but the short story is that the upfront cost could only be recuperated even by a tiny bit when kWh prices rise far into the 1 Euro/kWh.
But still, that one fridge was a very significant portion of the total house electricity use.