How about the basic misconception of the existence of black holes at all? The recent gravity wave discovery shows two very large masses colliding, and from what I gather, is the first truly strong evidence that black holes definitively exist.
I also think the size examples are the biggest thing that seems to get missed. The example of our Sun collapsing to a minute radius was given. But a 1 kilogram mass at a small enough radius will have a gravitational attraction that has a light speed escape velocity. It will still behave as a 1 kilogram mass. The ordinary conception of a black hole is considering a large mass:
If I was better with posts I would start a quote here .......
When the body is outside of the gravitational pull, its kinetic energy and potential energy will be 0, so if we equate them
(1/2)mv^2 = (GMm)/r
and the rearrange for v we get an expression for the escape velocity:
v = square root(2GM/r)
Where M is the mass of the planet or body, and r is the radius you are taking off from. The formula contains no mass of the escaping object, if you wanted to get a space shuttle off the Earth you would have to get it to the same speed as if you wanted to get a pebble off the earth, the difference being the amount of energy it would take getting something as heavy as a space shuttle up to the right speed.
Cambridge scientist John Michell argued that if you made the value of M big enough in the escape velocity formula, then you could get a value for v that was bigger than the speed of light. We wouldn’t be able to see these objects as no light would be able to reach us, and, as nothing can travel faster than light, no objects would be able to escape their pull once they were close enough. This is a Black Hole.
And end the quote here .........
http://physicsforidiots.com/space/black-holes/
But the escape velocity is also large as the radius is small. So a small enough radius for our Sun is a black hole. An electron mass should be a black hole at some radius (sorry, I am just guessing here, but it seems to follow from Newtonian math).
So I also think the biggest misconception would be that people tend to only consider the existence of large black holes, when any mass that might compress into the limiting radius should count (ignore the ridiculous 1 kg example, which would have a radius you can calculate, and then calculate a density that would be rather large. The ordinary space within and between atoms stops such a thing). The reasoning that a black hole could be stable and microscopic was the (acceptably impossible) risk raised against the LHC, if I recall correctly.
But again, the misconception that they are proven to exist should be considered ... although I am not going to claim a review of literature that adds to the evidence that they exist ... I'm going by the recent comments that were around the gravity wave detection.