A shop that has different brands from the big mainstream ones which are usually available would interest me!
I’m in the US, and most shops are Trek, Specialized, Giant, Cannondale, etc. And they often carry the clothing and accessories from those brands as well. I’d like a shop that deals with brands like Ibis, Yeti, Ellsworth, Commencal, Intense, or Transition. And clothing and packs by Fox and Dakine. Helmets other than Bell, Giro, and the bike brands.
And if you can be competitive with online prices for things that a customer orders, I’d buy a lot that way. A LBS may be able to do this as they spend a minute or two ordering the items from their distributor, send an email when it arrives, and then the item is paid for and out the door in a day or two usually, so money turns over quickly. Whereas stock items in the shop can sit for months, tying up a lot of money.