By far the most instagrammable of the Exeter Cafes as well as serving great coffee is Glorious Art House.
Artigiano Espresso and Wine Bar has been serving great coffee on the Exeter high street since 2014.
The Exploding Bakery Exeter has a great location in the middle of town next to the local Exeter train station.
There is outdoor seating on the pedestrianised square. Tea on the Green is a great spot to sit and drink coffee and people watch.