They're similar in usage when they mean "passionate". Context and emphasis are very much needed to determine just how much it is "unreasonable" or "insane" vs. just "intense"... or even if it's "crazy good" or "crazy bad".
But "crazy about" is generally a clear statement of intensely liking something. So I'm crazy about this new StackExchange site
would mean you like the site a lot. It doesn't usually mean that the interest level is actually "irrational" or "unjustified".
"crazy over" is more likely to be used with "going", and often does suggest something actually unreasonable is happening. People are going crazy over (some toy) this Christmas--parents are getting in fistfights at the store to be first in line to buy one.
If the 'crazy' is emphasized, it might really mean crazy:
When the neighbors have parties on Fridays and play their loud music, he's *crazy* about it. Starts yelling, beating on the walls, threatening to change into a werewolf and go eat them.
(Generally that would include get, as in "he gets crazy about it")
I was crazy about/over it.
Here specifically, you'd most likely see:
I was crazy about it.
(probably means: "I really liked it.")
I went crazy over it.
(probably means: "It really upset me.")
Again, there's a lot of leeway with this from context.
Both are grammatically correct and understandable, but it depends what you want to say.
When speaking in a context (and context is very important in this one) of moving vehicles, if
someone runs over something
it usually means they have literally driven over something, perhaps by accident
The car ran over the squirrel in the road.
would leave a very flattened squirrel. To hit something would be
The car ran into a tree.
The motorcycle ran into the back of the bus.
There was a chain reaction of cars running into each other on the foggy road.
Confusingly, the phrase "I got run over by a car" can also mean that a car ran into me and my body was displaced or thrown from where I was standing.
To
drive over something
We had to drive over a bumpy road to get to the house.
We drove over the bridge to get to the other side.
carries more a feeling of intention. So in your examples
The old woman was run over by the car in front of her house.
has a feeling that an accident occurred, whereas
The young man drove his car over the old woman.
has a feeling of "vehicular homicide" or intentional "reckless driving".
As an added point, when those two phrases are used outside of moving vehicles, the meanings become very different again
1) We have the game on TV, why don't you run over and watch it with us?
2) We have the game on TV, why don't you drive over and watch it with us?
#1 means "get over here quickly" whereas #2 means "come over by car" perhaps quickly
I'll just run over to the store to get some milk (a quick trip)
I'll drive over to the store to get some milk (usually meaning a longer trip in distance and time)
Best Answer
You have identified the appropriate sense of over, #19; but the key to this use lies in the example there, not the definition: ‘to quarrel over a matter.’ Over is used in this sense specifically when the complement designates the cause of disagreement or strife.
The extension of over complementation from verbs signifying conflict to similarly impassioned one-sided actions is fairly recent; it seems to be a particular favourite of journalists:
I cannot recall on being used in contexts like these.