To differ from the US, Serbia does have them. Depending on the terrain, they may take different shapes. In the flatlands, they usually have a couple of main streets, and their layout is either following those streets (with stretching along those streets in the ends), or they are rather square, or sticking to the water if they are on a bank of something. The lots may be rather big, the standard being around 32 ares (going anywhere between 16 and 60); the sizes are pretty much the same in one village (i.e. where it's 40, most of them are 40 except the halved ones).
In the mountains, they adjust to the terrain, mostly sticking to the valleys but sprinkling the surrounding hills, so the density drops with the height and slope. There are hamlets semi-attached to villages, usually where one family built on its own land somewhere up the hill, then built more, then perhaps sold a few lots. Such hamlets usually keep the name of the founding family.
Every village has some kind of center, where they have the church (or two or three, depending on the composition of the people - frequently there's orthodox and catholic, or protestant, or a džamija with a minaret), community office, post office, a tavern (or more than one), a general store, elementary school (perhaps a block away), a doctor's office (though smaller villages may lack one and use the nearest). Many still have the "dom kulture" (culture home) which is where concerts (usually turbo folk or sometimes local folklore ensembles) and meetings are held. Once upon a time they also showed movies. Optional and depending on the size of the village is a bakery, gardening shop, hardware store, but these may also be further away.
On the edges of the village there may be anything - usually transportation related - vehicle repair, gas station, cemetery, brick plant (usually the old one, now defunct), grain silos, machine park with tractors, harvesters etc.