Here is the full list of all 30 Seraph achievements.
Kill the Herald.
Kill 888 Daemons.
Kill an 'enhanced' Elite (Bloody, Tainted, Dark).
Kill 50 enemies under the influence of the Double Damage Orb
Score among the top 75% on a Daily challenge.
Score among the top 25% on a Daily challenge.
Score among the top 10% on a Daily challenge.
Obtain a Supreme Shard.
Unlock a weapon, Ward or Miracle through Transmutation
Destroy a Fountain of Terminus.
Unlock Daemonsight through Transmutation
Attach a Shard to an Oath.
Kill 88 Daemons.
Slay a Lieutenant of Terminus.
Collect 25 story logs.
Equip a Miracle other than Orb or Repel.
Post a score in Survival mode
Transmute the MKII version of each weapon.
Defeat the final threat to Seraph.
Kill the Herald at difficulty 6.0 and above.
Collect 50 story logs.
Collect 75 story logs.
Transmute a MK4 weapon.
Reach 6 pips on the difficulty meter.
Upgrade a Blessing to rank 5.
Reach difficulty 8.0 in Survival or New Game.
Kill 8,888 Daemons.
Reach difficulty 9.0 in Survival or New Game.
Defeat the final threat to Seraph at difficulty 8.0 and above.
Seraph is reborn.