Here is the full list of all 28 Vampire: The Masquerade - there are Coteries of New York achievements.
Complete the game with all three characters.
Nobody came to your help in the grand finale. Except for...
Meet somebody you used to know in life as the Ventrue.
Fail to recruit somebody into your coterie.
Become Embraced into the Ventrue clan.
Agathon came to your help in the grand finale.
Hope came to your help in the grand finale.
Complete Adelaide Davis' questline ("Somebody's Watching Me") as her bitter foe.
Complete Agathon's questline.
Meet somebody you used to know in life as the Toreador.
Complete Hope's questlline.
Become Embraced into the Toreador clan.
Try running away from Qadir during your trial.
Rage against your fate and complete the game with any character.
D'Angelo came to your help in the grand finale.
Tamika came to your help in the grand finale.
Convince Agathon to cooperate with you.
Convince Hope to cooperate with you.
Complete Frank Dougherty's questline ("A Nosy Reporter").
Complete Adelaide Davis' questline ("Somebody's Watching Me") as her latest obsession.
Complete Benoit Segal's questline ("Faith and Myth").
Complete D'Angelo's questline.
Complete Tamika's questline.
Meet somebody you used to know in life as the Brujah.
Convince Tamika to cooperate with you.
Convince D'Angelo to cooperate with you.
Accept your fate in Elysium.
Become Embraced into the Brujah clan.