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...
Complete Adelaide Davis' questline ("Somebody's Watching Me") as her bitter foe.
Meet somebody you used to know in life as the Ventrue.
Fail to recruit somebody into your coterie.
Try running away from Qadir during your trial.
Become Embraced into the Ventrue clan.
Agathon came to your help in the grand finale.
Tamika came to your help in the grand finale.
Complete Agathon's questline.
Complete Benoit Segal's questline ("Faith and Myth").
Convince Agathon to cooperate with you.
Meet somebody you used to know in life as the Toreador.
Complete Tamika's questline.
Convince Tamika to cooperate with you.
Accept your fate in Elysium.
Become Embraced into the Toreador clan.
Rage against your fate and complete the game with any character.
Hope came to your help in the grand finale.
D'Angelo came to your help in the grand finale.
Complete Adelaide Davis' questline ("Somebody's Watching Me") as her latest obsession.
Complete D'Angelo's questline.
Complete Frank Dougherty's questline ("A Nosy Reporter").
Meet somebody you used to know in life as the Brujah.
Complete Hope's questlline.
Convince Hope to cooperate with you.
Convince D'Angelo to cooperate with you.
Become Embraced into the Brujah clan.