most of these are endings, but in The Town, there are about 10-15 mins of deleted scenes in total.
the one that changes the entire story takes place after they rob the banks where that chic works.
not only does she go out on a date with affleck's character, but she also goes on a date with the fbi dude who is trying to find the robbers.
now, when the cops comes and tells her that affleck is a bank robber, she really has no reason to believe him since it seems like dude is just mad that she picked affleck over him.
some other scenes include them actually burning the money bands, and washing the money in a few different ways that the cop describes after the armored car robbery.
can't find that scene online, but this is from the "so whose car are we taking" scene