I think I can help with this one.... I am a British-American living in Norway, and this is a completely confusing word to translate: Commode in English (more common in American) can mean a potty or potty seat. It can also mean a particular type of dresser/dressing table (more common in British and Canadian, but also used regionally in the US). It can also mean an old-fashioned wash stand (with a washing bowl instead of a basin/sink); this may be free-standing, or in a cupboard.
kommoden in Norwegian can also mean any of a list of things. They are usually made of wood, chipboard or similar material. The main criteria seem to be that they have doors and/or drawers and are used for storing things, usually in the bedroom.... Dresser, Chest of drawers, Tallboy / highboy, Stand-alone wardrobe that has both drawers and hanging space, bedside drawer unit (usually a larger one), tall and thin unit with flat drawers such as for jewellry or collections.
However, I have also heard the word used to mean similar shaped storage objects that also have other words, like a bedroom TV stand (TV benk / TV skap) with drawers in it, a sideboard / buffet (skjenk), and an old fashioned writing desk, of the sort that has a fold down writing surface, and otherwise looks like a chest of drawers.
If you google 'kommoden' and select pictures, instead of websites, you will get an idea of all the many things 'kommoden' can mean.
Dresser has more than one meaning and its exact meaning varies regionally. Chest of drawers is probably a less ambiguous translation of kommode.
Klesskap is a cupboard for clothes. I think closet can also be used for other types of cupboards (e.g. Linen closet = linen cupboard). Wardrobe is only translated as klesskap when you are talking about furniture. Wardrobe should be translated as garderobe when you are talking about the wardrobe department in a theatre or about a person's collection of clothes.
A British dresser is a large piece of furniture usually found in the kitchen or dining room, used to store crockery etc. The bottom half is like a cupboard, possibly with drawers (think sideboard). The top half is shelves, either open or with doors to protect them.
A chest of drawers is a chest of drawers.
Commode is the original French name for the piece of furniture that held someone's Chamber Pot, aka, the pot you used as a toilet. This piece of furniture slowly morphed into a dresser/chest-of-drawers and stopped housing peoples Chamber Pots once the modern-day commode/toilet was invented.
In British English a dresser is in the kitchen with shelves on top of drawers where you display plates. A dressing table is in the bedroom usually with a mirror on top and a commode is a portable toilet. I always get this one wrong as we do not use dresser in the same sense as the Americans. You need to allow for this, as you usually do for British American differences