Here is the full list of all 21 Mega Man Legacy Collection 2 achievements.
Eliminate the Evil Energy and complete Mega Man 8.
Complete the "BOSS RUSH" challenge (Mega Man 8).
Complete the "BOSS RUSH" challenge (Mega Man 7).
Prove yourself stronger than Bass and complete Mega Man 7.
Use Proto Man to liberate Dr. Light and complete Mega Man 9.
Earn 50 gold medals by completing challenges.
Complete the "BOSS RUSH" challenge (Mega Man 9).
Earn 25 gold medals by completing challenges.
Earn 25 bronze medals by completing challenges.
Earn 25 silver medals by completing challenges.
Earn 10 bronze medals by completing challenges.
Earn 10 silver medals by completing challenges.
Earn 10 gold medals by completing challenges.
Complete the "BOSS RUSH" challenge (Mega Man 10).
Earn 1 bronze medal by completing a challenge.
Earn 1 silver medal by completing a challenge.
Earn 1 gold medal by completing a challenge.
Use Proto Man to cure the Roboenza and complete Mega Man 10.
Use Bass to cure the Roboenza and complete Mega Man 10.
Cure the Roboenza and complete Mega Man 10.
Liberate Dr. Light and complete Mega Man 9.