What you described has nothing to do with you being bipolar or having faulty thinking. I have the same issues with husband myself, not putting things away, not doing things he said he's do that are important.

You can either ignore it and let him annoy and disappoint by never getting to the task, do it yourself, or treat him like a child. You could say something like "I'll make you something you like for dinner if you put the box away and build the desk" or you could direct him by saying "Come here, please pick up this box and put it away now." It's all about negotiating and your relationship dynamic.

Sometimes I feel like he's just being passive/aggressive with these things because he knows I want him to do it, so he won't.

It's not you. It's him.