Not exactly what you asked for but may help:
You could use [overpass turbo][1] . Select the wizard and type amenity=parking , zoom in close initially to an area to check if output is ok and build and run the query and you will see those on the map. You can export the data. You can also output meta which I think may give all tags of each element. By reading the documentation you should figure out how to extract various types of parking. You can get fancy and output differing colours to results.
[1]: http://overpass-turbo.eu