Any door villager can't open

Villagers can in fact open iron doors something alot of people overlook if there is no pressure plate or lever etc. Then will be able to open and close the door and in some cases lock you out of your house. I've had this happen in my current survival world. I've even had them open the iron door when there is a lever and a pressure plate too but I think that's more of a bug with the pressure plate on the other side of my doors than it is with the villagers ability to open it.

that was fixed in the newer updates of bedrock and java i have never had a villager open a iron door in vanilla minecraft but in the furnicraft addon for minecraft bedrock robert gomes screwed with the code allowing villagers to open iron doors that is the only instance that thats happened to me but it was fixed in the later versions of minecraft

You could use glass and sticky pistons. Just stick the sticky pistons in the wall facing you and put a button on the same wall, then make a redstone wire leading to the two sticky pistons. You could put another button and do the same thing with the inside so that you don't get stuck in there either.