Find out if you're required by the local code to have a medicine cabinet before you take it out.
If it were mine I would leave the shower alone, as has been said above let the renter bring a shower curtain.
A nice touch is to provide some nice metal shower curtain hanging rings already installed on the rod and a nice translucent milky colored shower curtain that fits, brand new sitting on top of the toilet tank waiting for them when they move in- so they can take a shower and not have water go all over the floor for the first few days. Check out dollar store for something like that.
In the same vein having a new role of toilet paper on the roller for them is a nice touch also.
As far as the sink area, if it were mine I Would replace the bar sink with a large white or maybe beige oval China Bowl. Simply cutting out bigger hole in the top. I would also opt for a taller faucet set into the edge of the sink rather than the countertop.
I would also explore how much work it would be to move that white cabinet from the left side to the right side including replacing the floor underneath because it probably is not vinyl. My goal with that would be to have a small seated vanity where someone could sit down on a bench. With a small bench in there that the renter could slide in and out and sit on. Some ladies like to have this to put on their makeup or do other personal things.
Mirror. Even If there is no requirement for a medicine cabinet I might move it to the side on the left side, And have a mirror cut to fill the entire back wall up to the 7 foot mark if possible for tall people. Little light fixture above it such as the ones that you see with four white globes and the bulbs inside.
Or I might just leave the sink area alone other than changing the sink and the faucet, while fixing all of the chips and paint issues on the front face of what's already there.
I would be looking to do this on the cheap. I think that the sink is a detractor and the faucets coming out of the countertop are going to be a problem for the countertop if they leak, whereas if they were in the sink edge the leak would go down into the drain.
The positive to having the sink drain side open to the renters eye is they can spot water leaks before they turn into major mold issues and placing a pretty trash can in there gives it a home in a small bathroom. Although some people believe this makes the unit look very motel like. There may be no difference in rental dollars or desirability for covering it up other than the personal taste of the owner.
Good Luck!
https://www.homedepot.com/p/KRAUS-Elavo-22-in-Oval-Porcelain-Ceramic-Drop-In-Top-Mount-Bathroom-Sink-in-White-with-Overflow-Drain-KCT-101/323337066
