This comes from the Vampire Storytellers' Handbook, though it is tempting and inspirational work. Just a little something to think about when planning or playing Vampire.

No Clans at All?
Imagine a world in which clans don't exist - perhaps all vampires are Caitiff, or characters choose three "clan Disciplines" at character creation. In such a world, it's entirely possible that several "specialty" Disciplines - Necromancy, Chimerstry, Quietus and others - simply do not exist.
Such a society would necessarily be quite different from Vampire: The Masquerade, as clan lines are gone. This can be valuable for eliminating simple stereotypes (all Brujah wear leather and carry TEC-9s, all Ventrue wear business suits and carry cellular phones, etc.). Players have more reason to make characters individuals and less reason to try to "fit in" with a group.
Sects may or may not exist, and the Anarch Revolt and other historical stresses are still possible (elders are still self-absorbed bastards, after all).
Lineages may still have conflicts, both within and without. Presumably, sires would choose childer for the same reasons as in mainstream Vampire games, and a neonate may grow to hate her sire for many of the same reasons. Only clan issues are eliminated, and they're tertiary anyway.

No Camarilla
When elders called the Convention of Thorns, the anarchs prepared for their final vengeance against the elders who sacrificed them to the Inquisition. With one fell swoop, the most influential Camarilla supporters were destroyed in a terrible conflagration. The Sabbat might form in the ashes of such a coup, seeking to dominate the mortal world through fear and terror rather than co-exist with subtlety and guile.
This could lead to open warfare with humanity, creating an even larger blood bath, or it could force the Sabbat to work underground, adopting traits the Camarilla would have espoused. Still, consider what vampire society might be like if Sabbat ideologies dominated - how many clans would join? How many would choose to remain independent? Would they attempt to form an alliance later, to defy the Sabbat's dictates?

No Sabbat
Conversely, what if the elders behind the Camarilla orchestrated the destruction of the most influential anarchs, leaving the nascent Sabbat without the leadership that enabled it to thrive in future centuries? The Camarilla could grow unchecked by the Sabbat's opposition, perhaps even with different philosophies. Lacking the balance of a nearly matched opponent, the Camarilla need not concern itself with many of the issues it currently faces.
It may grow to be oppressive, which might lead to a second Anarch Revolt, as new generations fight against "elder tyranny." Even then, it would likely be too entrenched to shake free.
Lacking an immediate outside threat, the Camarilla would have time and energy to devote to enforcing the Masquerade vigorously and stamping out other troubles, such as the Anarch Free States in California. Such a chronicle might deal with anarch resistance cells, forced to operate in even more secrecy than their elder opponents.

No Sects
Perhaps the Anarch Revolt never happened. Instead, in the light of the Inquisition, several clans may have chosen to form a loose alliance to deal with the problem without formal treaties or laws. Such a society might continue in the basic mode followed in Vampire: The Dark Ages, in which princes still claim domains in cities, but there's no pretense of sect to limit or enforce conflict. Without the stresses of potential Sabbat invasion or Camarilla meddling, stories might take on a different tone, with conflicts growing from very personal issues. Again, as above, it's still possible for anarchs to exist. No Inner Circle, regents, justicars, archons, Seraphim or Black Hand can dictate affairs to other Kindred - unless they have the personal might to back their decrees. On the other hand, a greater number of freelance investigators or bounty hunters may stalk the Kindred, working with whatever flexibility they can manage.
The large-scale strife might be absent from such a chronicle, but it offers greater room for individual feuds between cities, broods, coteries, packs or any other vampiric social unit.
Without the arbitrary structure of sects, smaller sect-like organizations might grow in regional territories. Perhaps the Princes of New England band together against outside threats, or in Southern California they ruthlessly war over territory and resources.
Travel between cities is much riskier in such a chronicle. Characters don't have the assurance of a commonly accepted set of laws or even general interpretations. The Lasombra Prince of Seattle might not have much time or care for emissaries from the Toreador Prince of Vancouver, B.C.