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