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