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