Illy, Segafredo (has a cafe next to Sushiminto on Salwa Road) and Vergnano (has an outlet at the Pearl), in my opinion, are the best coffees (brands, not necessarily cafés) available here.
Having said that, vergnano is really nice as a café, too, and has other coffee-based drinks too that are a cut above the rest.
I enjoy Coffee Bean and Tea Leaf, but I only drink the day's special brew there. Usually well done.
And yes, nice cheesecake.