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