Flat head: the bigger the better in this format, and simplicity has it's place, but easy to destroy in a variety of situations. Also, when you're out of options cutting a flathead slot into a destroyed screw might just work. The classic 6.5/10
Phillips: everywhere, but rather bad. You get a finite but unknown number of interactions with Phillips heads before it suddenly strips out and you're sad. This includes both the screws and the bits, Philips bits are the only ones I've ever had that shatter, the rest fairly predictably deform and can be retired.
Square (Robertson): bettr than the above. However, they're also like hex (Allen) but less good.
Hex (Allen): one of my favorites, and they scale rather well. BUT, if you strip it at all, maybe even once, you're done, the angles are shallow enough that there's no coming back, you've cut out a circle.
Posix: like Phillips if you squint, but if you actually use the right bit and, most importantly, push down harder than seems reasonable times 2, you'll pretty much never have a problem.
Torx: not lots of experience, and there's the rub. At the moment they're a hard bit for a layperson to find, regardless of their advantages