The most common bond has been the conjugal family which consists of a man, woman and their children.
Another well known form of bonding is polygyny wherein a man has many concurrent wives. The practice of polygyny is quite rare and mostly practiced by the wealthy classes. Concubinage is fairly common among the upper or leader classes through history and is a form of polygyny.
A rarer form of bonding can also occur in that a woman may have many several concurrent husbands. This has at least been noted in Tibet among the Todas where all brothers marry the same woman to create a polyandry relationship.
The various bonding types are probably a reflection of the dominance of patriarchical societies as there have been very few matriarchcal societies although the Mosuo women are still in control within their corner of the world.
A seemingly disturbing but apparently common practice was wife sharing. This was the practice of sharing your wife with another man for a special occasion or simply for an overnight visitor. It seems that this can still be found in the modern world.