Reino is located a few minutes from Roppongi Hills, the cafe has a beautiful and welcoming exterior and a very retro interior. Even on a weekday, it can be full, but if you're lucky, you'll find a seat right away. It's a great place to go by yourself or with a few friends. A blend coffee is about 550 yen, and it's less than 300 yen to get a refill. They also have light dishes such as toast.
Cafe Akira (カフェ哲)
Cafe Akira is a little hard to find, but it is a very pleasant cafe to visit. For lunch, they have nice sandwiches, as well as a staple in Japanese cafes: the pizza toast. The coffee they serve is mostly hand drip (540-650 yen), but they also have espresso and cappuccinos. How about some soft-serve ice cream with your coffee? They have that too.
Tsubakiya Coffee Shop (椿屋珈琲店)
This beautiful cafe is the embodiment of a classy authentic Japanese cafe. The waitresses are even dressed up in maid outfits and serve you your coffee in beautiful porcelain cups. You can come with a friend and chat the afternoon away or you can come by yourself and enjoy a beautiful cup of coffee while getting lost in a good book. There is a smoking and non-smoking area.
Saera Coffee in Roppongi is located only a minute away from Roppongi Station. A blend coffee is 550 yen and the classic Japanese dessert, coffee jelly, is 650 yen. Coffee jelly is a must-try in these types of old-school retro cafes. Their cheesecakes are also said to be very good!
And a special mention to Demmers Teahaus, which is not a kissaten, but a tea house. It still has a very nice retro atmosphere. This Viennese tea house is particularly known for its fruit tea and flavoured tea. This shop is quite popular so you might have to wait a bit before being offered a seat. When you order tea, you get it in a teapot so you can share and try different flavours or stay and relax for a bit. Their cakes are also very good!