On kissaten - 店 ten is the kanji for "store", though you might also learn 屋 (ya, lit. roof). kissa means consume tea (喫茶), more or less. I didn't notice them on my first visit, I wasn't into coffee then, but they're everywhere and a really nice way to get breakfast (egg toast + siphon filter for a few hundred yen). Not necessarily the best coffee in Japan if you don't like dark roast, but it's often made to order and not out of an urn.

Izakaya I would associate more with drinking and small plates of food, but not necessarily a catch-all for bars.