As Dan Hope suggested, a Heat / Panic system is an excellent idea. With that in mind, I have created a simple system with varying levels of civil panic and a list of circumstances which might cause them - for example, an armed police unit or a SWAT van would certainly make curtains flap where I live. There are a range of levels from 'Everything is Normal' to 'Mass Hysteria' along with a range of consequences that the GM can throw into the game as a result. Hopefully, this should help the GM to add life to the city so that the players don't feel that they are acting in a vacuum.
Most of today has been spent creating the Random Crime Table - as many of you know - random tables are a crucial part of Corporation and something I've loved since 2nd Edition D&D. The Random Crime Table is comprised of three sections - Perpetrator, Crime and Location. It should be pretty easy to figure out how it works. I am debating a fourth section which involves special instructions such as 'No Firearms' or 'No bending the law' - which are optional add-ins to make the response more fun.
If you recall the part of Aliens where the marines were not allowed to fire weapons for fear of damaging the reactor - that's the kind of thing the special instructions are supposed to cover.