The Bakery

You're heading out to Marsh Barton, which isn't exactly where you'd expect to find somewhere this good, but that's the whole point. The Bakery sits in The Space Place, a bit removed from the Exeter centre bustle, which means you get the kind of calm coffee shop experience that's getting harder to find. They've clearly put thought into what they're doing—the pastries look handmade rather than shrink-wrapped, and regulars keep coming back, which says everything.