It is quite common to see foreigners own property in the US. The Japaneses own big name hotels. There are European and Saudi Arabia owners of high profile ocean front type properties and winter ski resort properties. The British Petroleum from the UK owns several thousand automobile gas stations throughout the US .
Foreigner can own real property in Canada . They must declaration their non-resident status and on sale the proceeds are subject to a withholding tax if you own the property as an individual. Ownership through REITS and a corporation is somewhat more complicated.
There is no serious restriction to foreign ownership of any property in Australia . The only requirement is for high value property transactions to be submitted to the Australian Foreign Investment Review Board which also considers other types of investment as well. In 99% of cases there has been no restriction. It seems it is only a problem if the public gets excited and if the property is some sort of landmark or traditional or historical etc. For normal properties, no problems. If you go to www.firb.gov.au you will find their guidelines and specific information about property. None of the other government agencies and departments, including the state property title registration offices ever worry about the nationality of purchasers or vendors.
As far as I am aware, there is no restriction on foreigners buying or renting properties in this country. There are certain formalities (declarations, etc) to be observed now to prevent "money laundering" or other criminal activities, but there is no restriction on ownership as such.
There is no restrictions to foreigners owning properties in Singapore like apartments, condo, commercial except for landed properties which they will have to seek approval from the government before purchasing. Approval are given on case to case basis and for property that does not exceed 15,000 sq ft of land. However, foreigners can buy landed properties in Sentosa which is an island not within Singapore as the government have made that as an exception.
Based on the Land Law 2003, a foreign is not allowed to own the land by himself. He is just allowed to lease / rent the land under investment project. There is no controversy about this at the moment.
A foreigner cannot own properties but they can lease up to 70 years and renewable upon request (See Chapter 6, article 16). There is no any restriction in capital flow ( See more in chapter 4 & 5). Any controversy shall be solved as appeared in Chapter 8. (Royal Decree No. 03/NS 94).