Hyatt Centric Namiki 667
One of Ginza's newer hotels is the Hyatt Centric, a budget-friendly option from the chain that has a bar/restaurant occupying the entirety of the third floor. There's a terrace as well if you want to enjoy the weather.
Dubbed Namiki667, the bar and restaurant area offers a similar budget-friendly drink menu. Whether you're here to eat or just for drinks you can take advantage of the "Namiki 5 to 7" happy hour. At the moment that happy hour features six different Japanese craft gin & tonic options with Suntory's Roku Gin, five different beers, and two wines.
Fans of bubbly will also be pleased to know that the two hour free-flow sparkling wine option is a mere 1500 yen -- and that's even if you don't order food. You won't find prices like this anywhere else in Ginza, and certainly not in a space like this!