Digital Orthophoto Quarter Quadrangles are aerial images of land, used by the USGS. It can be considered a photographic map because it does not include relief or difference in surface details.
DEM's are representations of land features digitally. They provide a realistic three dimensional view of what a certain area would look like. The terrain, elevations, and coastlines for example can be more clearly viewed using this map. 
A DRG is basically a standard topographic map which has been scanned, which enhances the features on the map. 
An isopach map gives the viewer insight to thickness of certain features or resources. This map is showing the shale isopachs in small region. 
A statistical map uses color to outline the demographic that it is attempting to portray. This aids in being able to better distinguish one category from another. 
Cartograms can display information through distorted shapes to convey a message. In this map, world consumption is the topic at hand, therefore countries in North America and Europe seem to be inflated while countries in Africa and South America are made to look weak. They are not meant to provide accurate shapes of land. 
Maps with isolines can be used to represent lines of equal value in any map, similar to contour lines. 
Propaganda maps are created by a country or a group people trying to emphasize or de- emphasize certain regions. They can be satirical as shown in the map above, in which the mapmaker was attempting to make a point about Europe. They usually do not show factual representations of areas. 
