The proper term for that person would be known as a numismatist. There is no difference in titles between an American collector,a Canadian collector, or a European collector.
Gold Farmer: A person who collects in-game currency in a Massively Multiplayer Online Role-Playing Games (MMORPG) for the purpose of selling it to other players for real world currency.
A person who collects beetles is a coleopterist.
The answer depends on the currency to which the question refers. The coinage for US, for example, is different to that for the Euro zone. There are many other countries that also use cents.
A person who collects shells is known as a conchologist.
Phillumeny is the hobby of collecting different match-related items: matchboxes, matchbox labels, matchbooks, matchcovers, matchsafes, etc. The collector is called a phillumenist.Arthur J. Dent is the name of a person who collects mathbooks.
Numismatist
hemipterologist
a person who collects stamps
A person who collects things is typically called a "collector" or a "collector specialist."
A person who collects nests or eggs and studies them is called an oologist.
A geologist is a person who studies rocks and rock formations. A rock collector or a rock hound is a person who collects rocks for fun.
Someone who collects everything would be called a hoarder - this type of person may have OCD as well.