Estimated time: 10+ hours (not a quick one).
Achievement requires gathering specific salvage to complete the rebuilding of your Spaceship. You'll need 22 power cores, and 14 different and special blocks/tubes. For a full list of the salvage needed, refer to the in game template. Try the (interactive) map link below for all 156 salvage locations. Keep in mind, you won't have to gather every piece; only 36. Although some other salvage items will certainly assist you to help get them all much quicker; namely the mini-thrusters, gimbal jet and submarine parts.
Not my map, so whole credit goes to Schizomaru. https://lucid-golick-96c5ec.netlify.app/
Take note of the height for each piece. Some salvage is below sea level while others are high above on floating islands.
Power Cores are essential for upgrading your retrieval vehicles needed and go towards the "Power Core Collector" achievement as well as building your Spaceship. After returning salvage to base, upgrade your preferred vehicles when possible. The standard templates are pretty decent, so you can add to those or have fun creating your own. The magnet is an important one to get early, which also goes to helping unlock the "So Attractive" achievement.
The most difficult salvage needed to retrieve is the Dragon Jet, which is in the middle of the (only) volcano. Flying into the volcano nets you the "Bring Marshmallows" achievement. There's a YouTuber (shoutout to ScrapMan) I saw get the Dragon Jet using only 9 power cores with Mini Thrusters. I did spend countless hours building and testing many fliers with helicopter/plane parts and boosters but had to abandon all of'm coz they were too hard to control. Finally, I tried the template of the Gimbal Car; with tweaks and additions it was relatively simple. I've uploaded my very basic but successful vehicle in game. It's titled "Easiest Dragon Jet Getter". You'll need 21 Power Cores and have availability to the Gimbal Car template.
Have fun and happy hunting.