I know there exist special 'screw guns' which are used to install drywall sheets and ensure that the sheets won't be crushed when driving screws.
Do there exist special attachments which are installed in drill/drivers that basically guarantee that screws won't run deeper?
Yes. Look for a Drywall Screw Setter Bit Tip. They work well.
(source: hardwarestore.com)
I always just set the slip clutch value on my drill to a really low setting when using it for drywall. If it starts to slip before the screw is set to the proper depth, I'll give it another "click" or 2.
Most decent quality drills produced these days have a clutch, but some don't. If yours has one, give it a try.
You still need to be a little bit mindful of speed as you set the fasteners. Trying to go at max RPM's can give enough momentum to punch through the paper even on the lower settings.
Drywall Screw Setter Bit Tip, with internal clutch.
The small ones don't have a clutch, so they just make the driver cam out of the screw. These do, so the driver just stops turning when correct depth is reached.
Pros: pretty accurate, and doesn't wear the Phillips tip because it doesn't cam out. This is nice, because a pristine Phillips tip really helps doing a clean job. Especially with steel studs, a worn tip doesn't hold the screw that well so it sometimes goes sideways and shreds the drywall.
Cons: you need a screwdriver in your pocket as an accessory in case you want to unscrew or adjust a screw...
Also check that the clutch tip has a magnet in it to hold the screw.
