Here is the full list of all 13 Bumbledore achievements.
Heroic clear all levels in Pollanor Palace
3-honeycomb complete all levels in Pollanor Palace
Destroy 5000 Ice Bugs
Destroy 5000 Berserkers
Destroy 5000 Mantises
Destroy 5000 Rhinos
Heroic clear all levels in Wintrus Citadel
3-honeycomb complete all levels in Wintrus Citadel
Destroy 5000 Fireflies
Destroy 5000 Ants
Heroic clear all levels in Honeyhold Keep
3-honeycomb complete all levels in Honeyhold Keep
Destroy 5000 Wasps