Habroxia 2 (HP)

New Game+ will unlock once you've completed the main story the first time. It's icon will be located on the far right of the level select screen and will be a glowing red anomaly. You'll need to play through the entire game on this mode to unlock the trophy. Luckily, all of your upgrades carry over as well as your wallet so you should be pretty powerful by the time you go for this. You will still be allowed to purchase upgrades after each level as well, giving you ample opportunity to max out a few of your most beneficial stats (Shot Power, Shot Spread, Fire Rate and Additional Health). The difficulty will increase slightly (additional enemies, more aggressive enemies etc.) but you shouldn't have too much trouble with them. You can repeat any level you need to should you fail or want/need to get coins for upgrades. If you're still missing any Astronauts (for Homesick ) or Bounties (for The Hunter ), you can get them in this mode and they'll still count towards your overall total. 

Once you've completed the Campaign and have defeated the final boss, the trophy will unlock.