Here is a basic floor plan of one:
Micro Apartment Floor Plan - 96 sq feet
Poor layout. Move the stove to the other side of the counter, so the stove isn't making your refrigerator do extra work.
Normal-sized stoves and refrigerators are 32", not 24", so those appliances will have their usability greatly reduced. Typical baking sheets probably wouldn't fit in that oven. At that level of non-usability, you might as well remove the stove entirely and just get more counter space, and put a single counter-top stove burner on the counter if you actually plan to do stove-top cooking (I have no experience with those counter-top ones... I shudder to think about it though). Since you're getting rid of the oven, you can then also get rid of the oven-ware you wouldn't have any place to store anyway.
The bathroom doesn't have enough room for a toilet and a sink, so either you're urinating in the bathroom sink or shower, or you're washing your hands in the kitchen sink. You could have the sink above the toilet itself, which would actually save water (grey water from sink just falls into toilet tank) - such things exist, but I imagine myself always bumping into the toilet bowl with my legs while trying to wash my hands.
On the other hand, that shower doesn't need to be 3x3 feet. It could be 2x3 and still be usable, if a little cramped. The idea of having a 1ft wide door to get into the shower stall is pretty unrealistic, IMO.
There doesn't really need to be a special wall between the shower and bathroom.
I wouldn't have a "bed/couch combo", instead, I'd build a window-seat style bed with a less-than twin-size mattress on it. Underneath, you have pull out drawers for cloth-storage. When I was younger, I built with my dad a windowseat with a full twin-size mattress and built-in bookcase, with storage below (you had to lift up the mattress to get at the storage though). It wasn't hard to make, and we even had to reroute/expand a heat vent and an electric outlet to continue through the windowseat to the room (so a vent and an electric outlet was built into the windowseat).
I'd move the desk to the south wall, and expand it a foot horizontally to give more workspace. This also allows you to move the kitchen counter down another foot, which actually would give you enough space for a standard 32" refrigerator. Between the kitchen counter and the desk I'd have a "half-wall" to separate them, or at least a thin by 6" high raised edge on the countertop. Ofcourse that entire layout doesn't even take into account wall sizes and standard door sizes. The bathroom wall can't take an imaginary zero width.
I'd rather get a roommate in a larger apartment and split the rent.
I don't need much bedroom space (basically a bed and 2x3 of closet space), but I need more kitchen space if I'm to do actual cooking (which saves enough money to cover some of the higher rent cost anyway).