way too quick an analysis... Belgium happens to be a very friendly country for people living off their capital, with some of the perks identified in the article below. It caused outrage in some circles in Europe when it agreed to the tax treaty with Hong Kong, which is a great way to enjoy european profits in exchange of very little tax for belgium companies.
http://www.henleyglobal.com/media-events/articles/bel/
Hong Kong is not mentionned here, but the tax rate is a flat 15 or 16%, no tax on capital gains for individuals and often for companies, including for day traders as well as no tax on offshore income. Also very little compulsory expenses for retirement, health care etc... which plague most european countries. In France for instance they are often a much bigger plague than the income tax for the self employed and the employer (and indirectly for the employe who perceives only a ridiculous portion of what the employer pays for him, before himself getting hammered with the income tax, the wealth tax , the allowed to breath tax and gosh knows what tax...
Besides I doubt Singapore is faring much worse than HK although i haven't checked for a long time. It's possible to get a resident permit to proven entrepreneurs in both HK and Singapore, and also for others who don't have a business plan involving the local economy but who are able to invest in the local economy (business, but also stocks and sometimes real estate - there for instance
http://www.sentosacove.com/home.html ) 1.2 million USD (in Singapore I think that's the minimum amount) or 1.5 million USD (in HK, amount required for Capital Entrant Scheme was increased from 6.5mil HKD to 10mil HKD a few months ago).
To the OP, there are also a bunch of develloping countries with rather high taxes on paper, but who welcome foreigners with a bit of money and don't care much about the incomes and cap gains they earn overseas - as well as locally sometimes . Moving there costs far less than moving to HK or Singapore.