Weighing in for Australia (or at least regional east coast)...
We have what are termed shopping centres (will be also have included in its name Mall, Plaza, or even Hyperdome, depending on how big it is) and shopping districts (smaller centres, malls and arcades in one central area, split only by road or paved pedestrian areas).
Within those we have our standard national chain stores (Woolworths, Coles, IGA, Aldi, Target, Big W, K-Mart etc), franchises (Wendys, Donut King, Jeans West, etc), smaller independants (homewares, giftware), chain jewellery stores (not unusual for there to be up to 5 in any one centre), cafes, dollar stores and even mobile car wash services.
Opening hours and seven day trading are set by the centre (where I am: grocery stores 7am - 10pm, specialty stores 8am - 5.30pm, slightly shorter days for Sat/Sun).
Our customer service culture is quite good - Aussies are friendly, helpful and knowledgeable, without being overbearing or annoying. Younger sales assistants are often known for greeting customers with variations of 'Are you right?', which most customer service veterans cringe at.
We don't have 'baggers' in grocery stores (the checkout operator bags products as they scan them), we generally use fabric and other recycled 'green' bags for our shopping, and more and more stores charge extra for a plastic bag (most of which are manufactured to be biodegradable).
Most grocery trolleys have no charge attached to them, but some outlets require one to use a gold coin ($2) to unlock the trolley and returns the coin only after the trolley is returned to its bay.
Most of the grocery chains have some sort of rewards card that is scanned with a purchase. Woolworths and Big W, for instance, loads a card with petrol discounts; IGA donates a percentage of one's purchases to one's chosen charity, as well as having 'cardholder-only' specials; Coles and Target are associated with Flybuys where purchases equals points to be redeemed on everything from household goods to flights.
We have 'shop-a-dockets' - on the back of every docket from a national chain store will be coupons to be redeemed locally.
Alcohol isn't available in supermarkets (grocery stores), but sold in separate chain operated and staffed liquor stores (i.e. Woolworths will have a supermarket and a liquor store side-by-side, combined in the same structure, but very much separate).
Another thing we have that is very different to everywhere else, is how tobacco products are sold. They are not displayed, just kept in a concealed and locked area behind the sales counter with small typed labels - no pics or advertising.
Edited to add:
We also have huge homewares complexes - usually close by bigger shopping centres - and include everything (especially chains and superstores specialising in particular items) from furniture to bedding, electrical, whitegoods, car products, office products, outdoor products (lawn and garden), home entertainment etc. For instance, where I am we have a place called 'Homebase' (directly opposite our biggest shopping centre) - and it's massive - http://parkbeachhomebase.com.au/