Here in Barcelona, Spain, we normally have to do a deposit of normally 2 to 5 months and depending on your contract and share some communal costs such as garbage collection etc (might be included in price already). There could be 1 month more if it was contracted using an agency.
Those fees, by comparison to home purchases, are very minimal. The doc fees to buy a house in the US alone runs well over $1300, that doesn't even include paying for points or inspections. You have the same type of fees to rent in the US as well, credit checks, deposits, pet fees, and move in fees for certain buildings depending upon access and parking.