Computer vision to track inventory and expiration of food in a refrigerator could be useful for busy households

I don't think this is a problem in a lot of the world. Commercial kitchens already have rules and inventory management systems. The only thing I could think of where it might be useful is looking for mold on things, but I suspect most people are using containers into which something couldn't clearly see.

A dishwasher could cut its cycle short if it sees that dishes are clean, saving water and energy.

Maybe? It would still need to learn all the dishes the person has and what clean and nonclean versions are. That training and calling the model has its own environmental impacts and I don't know that implementing it would save energy over the life of the appliance due to the extra costs in energy to train and call it.

My washer has settings for heavier and lighter washes based on what's going in (as does my clothes washer)

In addition, robots are home appliances that require AI

They do not.

Robotic vacuum cleaners learn their surroundings and navigate using machine learning

This could all be done with sensors and rules and, in fact, was. Unless we're being super loose with what "machine learning" means here. We've been teaching robots to semi-autonomously navigate courses and return for ages.

We’re also likely to see humanoid robots(or similarly flexible platforms) becoming household appliances in the near future.

That's so gross to me personally that I don't want to think about it. Both from a security as well as environmental perspective. I also disagree that it's close, at least for how I think you're using "close" here.