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