Here is the full list of all 47 Metal Wolf Chaos XD achievements.
Upgrade all manufactures
Hit the church bell in Phoenix
Destroy all bridges in Grand Canyon
Destroy target with a single Stomp Attack
Stomp 1 000 enemies
Destroy DNN helicopter 10 times on the same level
Defeat miniboss using Blaze Attack
Discover secret passage in Alcatraz
Complete Space Station
Complete any level under 30 seconds
Complete Las Vegas
Drown a tank
Destroy father's statue
Complete Fight House
Fail to save White House
Stomp a flying helicopter
Destroy father's statue a second time
Get damaged from a mine or kamikaze 30 times
Complete Liberty Island
Destroy the battleship with 3 hits
Complete New York
Complete Chicago
Complete Houston
Complete Miami Beach
Fail the same mission 10 times
Leave battlefield 10 times
Swim on Miami
Complete Phoenix
Complete Grand Canyon
Complete Alcatraz
Rescue 5 musicians
Complete Beverly Hills
Complete Chinatown (San Francisco)
Die the first time
Lose 10 POWs
Complete White House
Capture all aliens
Score 1 000 000 Presidential Points
Rescue all POWs
Acquire all weapons
Complete level without firing a single shot
Complete all levels with S rank
Complete all levels on Hell difficulty
Collect all Energy Cores
Sink all patrol boats in Miami with Cannon gun
Use revolvers to capture an alien in Phoenix while wearing Phoenix suit
Defeat final boss without losing a single Shield Unit