The only drawback is that there is no staff to do weeding
We have that problem too!
In the U.K. we're famous for our gardens (the climate is excellent for allowing an extremely wide range of plants) and there are, literally, thousands of gardens open to the public.
We also have the National Garden Scheme (NGS and quite often called the 'Yellow Book' as they're published in a yellow book

) which is a list of mainly private gardens that open for charity. There are approx. 3,800 gardens in the scheme and if you are visiting this country it's worth looking on the internet for gardens that are open in the areas you're visiting at the time of year you will be here.
They range from very large gardens to tiny back gardens. To be allowed into the 'Yellow Book' the garden has to be vetted by the local NGS committee.
It's very difficult to classify gardens into a 'breath taking' category as they vary so much and the choice is vast. We've visited gardens all over the world and some are wonderful because of a speciality (e.g. the orchid garden in Singapore) or because of the setting (e.g. Kirstenbosch Gardens in Cape Town).
I have photos from over 200 gardens filed on my computer but I really couldn't pick a favourite as each has its own beauty.
We open our garden for charity each year and are fortunate to get hundreds of people turning up. A thing that we find difficult, but manage to a certain degree, is getting the garden to look good through the seasons.
Here's a link to some pictures I took the day before we opened a few years back. The garden has changed considerably since then. The photos are on page one, with a few on page five.
http://www.gardenerscorner.co.uk/forum/threads/sneak-preview-of-shineys-open-day.16514/
Anyone visiting this country at the time we open (always the Bank Holiday weekend at the end of May) is welcome to come along, but it doesn't come into the category of 'breath taking'

.