Actually, if you intend to rent from rental companies, they only require a proof of funds from your bank. This is what I was told all the time as I was checking apartment units. There was also a time when a residence manager asked for a guarantor so he could approve an application. A guarantor has to have a stable status in Canada (good job, good salary). Though, your friends may be uncomfortable with this because a guarantor essentially agrees that in case of your non-payment, he will take responsibility.
If you happen to like a place being leased by an individual property owner, this is when they ask for proof of income, reference letters, and credit check. No documents, no lease.
I am renting a furnished basement suite in Toronto right now. And I am looking to transfer the lease. The lease is until September 2017. If you are interested, I can send you more details about the apartment (inc. photos). You can consider staying for 3 months (July-Sept)--it will be much cheaper than Airbnb as the rental rate is based on long-term stay.
Let me know! Good luck!