I would like to have a list of colleges and universities in Canada
(ordered based on their ranking) that would give admission (for
undergrad studies) to an international student (non canadian, who has
studied in a non-English speaking country before) with a high school
diploma with 3.0 GPA. Also this person either haven't taken TOEFL or
any English proficieny test, or if she/he has taken it, it's not very
good, let's say in TOEFL she/he has got a score around 520. She/he
wants to study Engineering, Math/Physics or Business.

By far, http://www.macleans.ca/universities/index.jsp is generally
considered to have the most comprehensive ranking for Canadian
Universities.

Unfortunately, to attend University in Canada you must speak either
English, or French rather fluently.

Although, I do know Ryerson University in Toronto, Ontario, Canada
offers certificate programs that you can just register for without any
applications required. Once you have completed the certificate program
you can than apply for one of the degree programs. It's a way to
proove yourself if you've had no formal education.

See this page for more detailed information: 

http://ce-online.ryerson.ca/ce/default.asp?id=81

Although, the authorization portion would be tricky. 

HTH