I bought sweets - lollies! - at the corner shop. However, when I moved towns, I discovered that the 'corner shop' in my new place was a 'milk bar', which I thought was a US term and I was quite horrified to find in such use in Aus... and to me makes about as much sense as using 'deli' for some place that doesn't actually sell 'delicat essen' (delicate food, basically).