Agree, coffee shops are the modern version. Only 25 years ago as a student in Manchester pubs were everywhere, and we often used to go to the pub at lunch time. Went back there recently and all the pubs we used to frequent were gone, replaced by coffee shops and people with laptops and smart phones :)
They appear to offer "creme frappuccinos" in a section of the menu that in at least some Starbucks is labeled "non-coffee". I can't actually tell whether those frappuccinos are also coffee, or not. The official ingredients are things like "Frappuccino Chips" and "Mocha Sauce", preventing you from knowing what's in them.
Starbucks has pivoted from coffee shop to desert beverages, pretty much. They still will sell you a coffee but they feature a variety of desert drinks.