Owning a toothbrush. I'd have only one national toothbrush that everyone has to share. You'll have to register on a waitlist so that you can only brush your teeth a maximum of once a month.
Also, as a communist, I would ban, not having a bedtime. Everyone must have a bedtime. Anyone deviating from their bedtime will be sent to bedtime gulags. Where they have multiple bedtimes throughout the day.
Comrade, I have a crime to confess: I've missed my bedtime several times prior to this glorious revolution. I believe I may need re-education in the Marxist theory behind Communist sleeping in order to weed out these remaining vestiges of Capitalism. While it pains me, I will submit to arrest and go willingly and compliantly to the bedtime gulag.
I would vote for this if it captured the people who make you miss your bedtime and then my employer couldn't give me so much work that I am constantly missing my preferred bedtime.
Let's just ban property in general. Not private property, just property. Have everyone share the national toothbrush as well as Stalin's mythical spoon.