Hi, This is what I know about anointed weapons. If anyone wants to add to this thread that would be great.
You can obtain anointed weapons from the Veteran Rewards vending machine and/or the Proving Grounds. You can purchase anointed weapons with Eridium. I have seen costs between 65 and 200 Eridium. So far I have seen both anointed weapons and shields that have specific bonuses. These weapons and shields generally have purple rarity stats but come with extra bonuses. Right now, I have seen 5 categories of anointed gear.
• Anointed is a general category that every Vault Hunter can benefit from that bonus. 1) On Action Skill End, the next 2 magazines will have 50% additional “elemental” damage. 2) On Action Skill End, Melee Damage is increased by 100% for a short time. 3) On Action Skill End, action skill cooldown rate is increased by 20% for a short time. 4) On Action Skill End, gain 15% Life Steal for a short time. 5) On Action Skill End, Weapon Status Effect Damage and Chance are increased by 75% for a short time. 6) On Action Skill End, gain 15% Life Steal for a short time. 7) On Action Skill End, Critical Damage and Chance is increased by 75% for a short time. 8) On Action Skill End, Critical Damage is increased by 25% for a short time. 9) On Action Skill End, regenerate 5% max health per second for a short time. 10) On Action Skill End, deal 125% more Weapon Damage to Badarse, Named, and Boss enemies for a short time. 11) On Action Skill End, Weapon Damage is increased by 100% for a short time. 12) On Action Skill End, gain greatly increased Accuracy and Handling for a short time. 13) On action skill end, next 2 magazines get 50% cryo damage
• Anointed Beastmaster is a bonus that only applies to FL4K. 1) After issuing an Attack Command, gain 8% move speed for a short time. 2) Grants an extra charge of Rakk Attack! 3) While Gamma Burst is active, gain 65% bonus radiation damage. 4) While Fade Away is active, gain greatly increased Accuracy and Handling, 5) Enemies damaged by Rakk Attack! take 50% increased damage for a short time.
• Anointed Gunner is a bonus that only applies to Moze. 1) While Auto Bear is active, constantly regenerate 8% of magazine size per second. 2) While Auto Bear is active, deal 20% bonus Incendiary damage. 3) After exiting Iron Bear, do not consume ammo for 5 seconds. 4) After exiting Iron Bear, the next 2 magazines will have 40% bonus “elemental” damage.
• Anointed Operative is a bonus that only applies to Zane.
Anointed Siren is a bonus that only applies to Amara 1) After using Phaseslam, Melee Damage is increased by 200% for a short time. 2) On Action Skill End, deal 20% bonus radiation damage for a short time.
I give credit to Mentalmars for thinking of and starting this list.