For Canadian immigration (CIC), the only accepted exam is the TEF Canada. There are four sections considered in your profile : Listening comprehension, written comprehension, speaking expression and written expression. The points system depends on the immigration program you are using. Please check the official website for the points distribution for the TEF.
For immigration to Canada, you must take the full exam and present all the results on one certificate. Note that the TEF Canada is accepted by Québec immigration as well.
Please note that the above is for general information only. This is not legal council, and candidates should consult their lawyer or the immigration offices in question to fully understand the requirements.