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There's a dozen other places you could go to with views that are just as good if not better than the Park Hyatt. As I said, bars in Tokyo aren't lacking and just about every hotel has either a bar or restaurant or both way up top. But here's a good list: http://www.timeout.com/tokyo/bars-and-pubs/best-tokyo-bars-with-a-view
We've personally been to the R Restaurant & Bar, Star Road, Sky Lounge Stellar Garden, Deva & Top of Shinagawa. Personal favorites are the aforementioned Bello Visto. Top of Shinagawa and Star Lounge.
But you shouldn't limit yourself to just places with a view. If there's one thing that Tokyo loves, it's trying new things. There's always a new bar, a new drink, a new area to explore. Don't be afraid to crawl through the back alleys as sometimes you can find a gem here and there. But if Japanese is not one of the languages you speak you might be better off staying in the more touristy areas.

Perfect ! I wasn't aware of this and I will have a drink there as soon as I go back to Japan thanks for the advice
PS: I'll check with google image first to have a taste of this .

Sure it's nice and the view is a killer but when you get down to it, it's just a hotel bar with nothing really going for it other than it was featured in this movie. And if there's one thing Tokyo has it's bars from little joints with a dozen seats to large and sprawling.
But if you really want a bar with a view you need to go to Bello Visto in Shibuya. It's in the Cerulean Tower hotel on the 40th floor. It's got floor to ceiling windows and if you want a seat at one you need to reserve it but the view is out of this world especially sunset. On a clear day you'll be able to see the Tanzawa mountains and the iconic Mt. Fuji.
Bring your wallet because it's not cheap.