One of the more distressing aspects of the reanimates, is that they are not as mindless and unfeeling as the ghouls seen in the movies. A sense of self-preservation seems to permeate each one, though in mass they can somehow make the choice to sacrifice a few for the good of the many. More advanced types can avoid the more obvious pitfalls, at least some of the time. They are unlikely to simply mob a fortified position, or even a well armed group - unless they have a notable advantage in numbers. Fire and water will hold them at bay if they recognize it as a an impediment between them and prey - but they will make their way through if its an escape route.
Alphas have been know to occasionally use weaponry or tools. Sometimes it seems to be simple mimicking - they will use weapons if they see other people or reanimates using them. Other times, they will go so far as to intentionally cripple humans or open new door ways to allow other reanimates in. What else they can do is often a matter of rumor - as they are strangely paranoid about displaying these behaviors. Indeed, they are quite often very cautious and will attempt to blend in with their lesser type one brethren to avoid preferential targeting. They are well aware of the confusion that ensues with an attack, and will wait until defenders are distracted by their other brethren to sneak past and ambush.
The intelligence seen in twos and betas focuses on the use of space, rather than the use of tools and distractions. They are worryingly adept at finding ambush sites, alternate entrances, or simply the higher ground. Betas have been cataloged hounding targets like wolves, and leading the prey to a seemingly safe place, that is in fact a nest of yet more reanimates. Failing this, they can follow a mark for days, or hide out near observed routes of travel.
Threes and Kappas are at the very least, aware of their impressive abilities, if not always putting it to the best use. Although the latter are often capable of throwing around small cars, they generally don't do so in a manner to block an exit or to cripple a human. A dissenting opinion states its a case of them choosing not too, as they prefer the target un-crushed. However, they fact that they will smash building supports even when they're still in the structure may argue against this - or at least that they can be provoked to berserk levels.