Shop is British English, and store is American English. Pretty well known, and nothing too confusing. They both come from slightly different origins, but came fairly logically to mean the same thing. Store is pretty straightforward, referring to a place in which goods were stored in order to then be sold.
It seems to be something to do with America being very business centered as in "this is a place for our retailers to store their items to sell", whereas in Britain it would be more "this is a place for our population to shop for things that they need".
(US usually store) a place where you can buy goods or services: a book/clothes/record/sweet shop. a barber's/betting shop. I need to go to the shops - I've got no food in the house.
In American English, this kind of building is usually called a store, and shop is only used to mean a very small store that has just one type of goods.
The word Shop is traditionally spelled “shop” in the U.S. and “shoppe” in the U.K. In the past number of years some stores have begun to spell it with the added “pe” in an effort to stand out from the crowd.
In other words, in common U.S. usage, "grocery store" is a synonym for supermarket. The Oxford English Dictionary notes that the term "grocery store" in American English is often used to mean "supermarket".
For example you would say department store or convenience store, rather than department shop or convenience shop. However, you can say either grocery store or grocery shop. When the building is named after the tradesperson, you should always use shop e.g. baker's shop, grocer's shop, butcher's shop, chemist's shop.
The Oxford English Dictionary (paywalled) gives plenty of examples of the spelling “shoppe” from Middle English through the 17th century. But today, in standard English (American or British), the word is spelled “shop” unless you are intentionally going for a quaint or whimsical look.
A confectionery store (more commonly referred to as a sweet shop in the United Kingdom, a candy shop or candy store in North America, or a lolly shop in Australia and New Zealand) is a store that sell confectionery, whose intended targeted marketing audiences are children and adolescents.
In British English a receipt is a piece of paper that you get in a shop when you buy something, but in American English the more usual term for this is sales slip.
The terminology used for describing motion pictures varies considerably between British and American English. In British usage, the name of the medium is film. The word movie is understood but seldom used.
What is the difference between British and American words?
The main difference is that British English keeps the spelling of words it has absorbed from other languages, mainly French and German. Whilst American English spellings are based mostly on how the word sounds when it is spoken.
In England, an American corner shop or mini-mart is usually referred to as a "corner shop," a "convenience store," or simply a "shop." These types of stores are typically small and located in urban or suburban areas, and offer a range of products such as snacks, beverages, toiletries, and other household items.
In the U.K., such complexes are considered shopping centres (Commonwealth English: shopping centre), though "shopping center" covers many more sizes and types of centers than the North American "mall".
Corner shop is the most-used term in the UK, and corner store is about as common as convenience store in all parts of the U.S. that don't have a specialized name for it.
The reason is because the r causes the s sound to become [ʃ], the sound normally written sh, when the two are adjacent. The same thing happens (at least for me) in the words nursery “nursh-ry” and anniversary “anniversh-ry”.
It has many translations. The grocery store is generally called just «tienda»; also «supermercado», if it's a supermarket, but in that case we usually refer to the supermarket brand itself.
The nouns shop and store are used somewhat differently in American and British English. In general, Americans use store the way the British use shop — to describe any room or building where people can buy things or pay for a service.
The term 'Chippy' is commonly used in Australia and the UK to refer to carpenters. The term is found as far back as the 16th century – no doubt in reference to the wood chips that flew as carpenters worked their magic.