It is already confirmed that you will be able to free roam once you've completed the story (you can even select day/night).
What I really would like to see (most of them are already mentioned here, will mention them again anyways):
so its not going to be like spiderman 2 where its just an open world where you go around and solve crimes and when you want to do a mission you just go to its location. is it going to be a straight forward linear game like edge of time or shattered dimensions and then when you finish it you can go into new york and do whatever
this may be wierd but i actually realy want there to be a feature where you can create your own costume and you can choose your own colors and there is a different mode for all this stuff. it would sort of be like creating your own spider suit and playing your own different story mode. sorry if this is a stupid idea but it may be pretty cool