Rotogravure is used for very huge quantities of prints because of the cost of the cylinders that are used instead of plates; engraving the cylinders is more expensive than standards plates. They are also more resistant to large runs compared to normal offset plates that can easily get scratches or need to be prepared again after a certain quantity.
That a method often used for food packaging, corrugated boxes, mail catalogs, wallpaper, flexible packaging, postcards, etc.
According to Wikipedia:
The rotogravure printing process is the most popular printing process
used in flexible-packaging manufacturing, because of its ability to
print on thin film such as polyester, OPP, nylon, and PE, which come
in a wide range of thicknesses, commonly 10 to 30 micrometers.
Other appreciated features include:
- printing cylinders that can last through large-volume runs without the image degrading
- good quality image reproduction
- low per-unit costs running high volume production
As for most prints, to recognize the process, you'll probably need to use a magnifier on products that are printed in big quantities and look at the pattern.
Easy to find example:
Bottle wrap from big corporation like Coca Cola like this image below
Some close up examples of Rotogravure:
Source: http://www.metropostcard.com/techniques5.html
Regarding stamps and money, you might want to investigate the "copperplate printing" process:
Gravure printing is a direct descendent of older intaglio printing
(gravure and intaglio, commonly used synonymously, are different
processes; all gravure printing is intaglio, yet all intaglio printing
is not gravure—for example, copperplate printing, which is an intaglio
process without being considered a gravure process)
Sheetfed Gravure....
A variety of intaglio plates are used for high-quality, specialty
printing such as bank notes, postage stamps, money, securities, and
other such documents. These can either be sheetfed or web-fed, and are
more commonly known as copperplate printing. See Copperplate Printing (unfortunately, broken link)
Source: http://printwiki.org/Gravure
In this process, fine-line engravings are transferred to steel
plates from which an impression is made on sheets of distinctive
paper.
Source: https://en.wikipedia.org/wiki/Bureau_of_Engraving_and_Printing#Currency_production