Having stayed in Tokyo before - in a truly amazing hotel (the Grand Hyatt) and a truly dreadful one (the Keio Plaza), I had a fairly polarised experience of hotels in the city.
This one is definitely at the top end of the scale.
Location-wise, this is well-placed. If you are staying here, do ask for a view overlooking the Temple or Tower...the best views are to be had from the North or North-West aspects; the hotel overlooks Shibuya Park, which is simply wonderful and (if you like Tokyo Tower) offers a spectacular view both of it and other landmark buildings such as the Mori Tower at Roppongi Hills (which you simply must visit).
From a public transport point-of-view, you are very well-placed for Akabanebashi (Odeo Line) and Daimon (Odeo and Asakusa Lines). However, as fun as the Metro is, you can be in Shinjuku in 20 mins in a cab or Tokyo Station district in about 20-30 depending on the time of day. Cabs aren't that expensive (caveat here being that I live in London, so I'm used to very pricey cabs); a fare from the Prince to Roppongi was always on or about 1000 Yen, which is five pounds sterling or 10 USD at time of writing. So, for the sake of getting an air-conditioned taxi, save yourself the hassle of getting on a Metro train if you need to arrive at your destination dressed well.
Don't even bother with the Metro at peak time. Just don't. Unless you really like being VERY intimate with your fellow man.
As for the hotel itself, the room was spotless, truly. The service at the front desk was very good and housekeeping responsive if you need to ask for an iron/power adaptor etc. I would say, however, that the vast majority of hotels in Tokyo have the same level of service regardless of class. If it's one thing Japanese hotels do well, it's hospitality.
If you are a vegetarian, you will need to eat elsewhere other than the hotel in the evening, which - if, like me, you've just got off a 12 hour flight from London and a one-hour drive from the airport, is a little tedious. However, I don't actually see that, even if I weren't a veggie, that I would eat in the hotel. The food menu looked very good, but very pricey indeed. As mentioned above, I would be inclined to take the five min cab-ride to Roppongi Hill instead, which has many restaurants and bars to suit all tastes in one of the most progressive and modern parts of the city.
However, the bar at the top of the hotel is well worth a visit at night, since the view and service is exceptional.
Breakfast in the Hotel is a good variety of Western and Japanese cuisine. You will not leave feeling like you have paid over the odds for a poor choice of breakfast, as has been a common experience for me. Breakfast cereals, breads, lots of fruit and juices, pancakes...the choice is very good. Hotel breakfasts are never "value for money", since the mark-up is huge, but the choice and variety is very good indeed.
This has been mentioned elsewhere, but a word of warning about the gym and spa. You will not be allowed to use this if you are under 25 years of age. This is a problem for some with families and seems a little harsh to me. I would rather see the hotel having its facilities open to all between certain times and 18+ years from, say, 1900. This, for me, emphasised the "business hotel" positioning that the hotel is gunning for.
In summary - I would not hesitate in recommending the hotel to anyone staying in Tokyo. It is well-placed, with a good team of staff who will look after you almost to the point of it being a little embarrassing.
Do learn a little Japanese before you go. "Please" and "thank you" will elicit a warm response from the locals and is a basic courtesy!
Finally...and I know this sounds daft....but for a hotel that has over 500 rooms, I never felt like I was staying in a "large" hotel. The layout is designed very well as such you will not feel like you bumping into people every five mins.
One downside - two of the internal lifts made of glass that run from the ground to the 33rd floor overlooking the atrium. Very cool if you like that sort of thing. Not so nice if you have vertigo, like the poor Spanish lady I met on my first day!
This review is the subjective opinion of a TripAdvisor member and not of TripAdvisor LLC.