Complete War Story and obtain a gold medal time on all missions. 

A great gold medal guide for both stories as well as scenarios, created by Drunky can be found here.

Note: As of the last update, the last mission only needs to be completed once with a gold medal to register for War Story Gold

Complete all 10 missions in War Story within the time limit.

See War Story Gold for a complete walkthrough.

After talking to Max Power, climb through the tech tree and build the expansion Hangar 1 for him in War Story Mission 6.

Survive the asteroid bombardment in the Hammer Scenario.

A good strategy for surviving this scenario is to stick to basic tier one expansions and just keep them in good condition. This will require either a few Garages or a Hangar to achieve. It’s also worth noting that an expansion can’t be damaged while it is building so it is often wise to start building during the first asteroid wave. Furthermore, expansions are less likely to be damaged when built on the lower level of the station. Once the cash flow is within range of the goal, sell expansions to meet it more quickly and take a few seconds off of the completion time.

Due to the fact that the asteroids come at random times and with varying intensity, this will require almost as much luck as it does skill.

This achievement requires the completion of the Survival scenario in no more than 15 minutes. After one unguided attempt it often seems more difficult than it really is. The best bet is to make a large cluster of Big Bertha expansions supplemented with a cluster of Garages and/or Hangars next to them. Every expansion will most likely be destroyed before the target time is reached, but their destruction will most likely buy enough time to capture the gold.

Complete all 14 chapters in Adventure Story within the time limit.

See War Story Gold for a complete walkthrough.

Complete War Story Mission 4.

Objectives

• Build 3 Guns
• Build 800 Surplus Power
• Earn $1000

This is probably one of the easiest missions to complete so long as the visitors bar is periodically checked for Max Power. When spoken with, he’ll lend a hand with a significant amount of power, enough to reach the surplus target easily. To build income, there shouldn’t be any need for more than two or three first tier expansions. Once the station has earned enough money, build the three guns. As long as the station survives the attack, the expansions should be sold for enough cash to complete the mission with ease.

Complete Adventure Story Chapter 10.

Objectives

• Build a Wall Street Expansion

Reaching the end of a category tech tree may seem daunting, but it isn’t as difficult as it sounds. To get a better start on the level, make sure to sell all of the dying expansions at the start. They’re more of a cost than they’re worth. Focus early on the trading demand and then start expanding into other categories once the visitors are satisfied.

Don’t forget that the Restaurant is necessary to build the later expansions, and an Herb Garden is required to build the Restaurant. Each category depends on another at some point so make sure to have some diversity in the station to help out in the latter end of the chapter.

Complete Adventure Story Chapter 8.

Objectives

• Build an Amusement Park
• Earn a 4.5 Star Rating

This chapter requires building through the social category of the tech tree. The Amusement Park will be the final expansion available in the social category.

In order to obtain the 4.5 star rating, here are a few tips that should be helpful:

• Keep all expansions in good repair. This level makes expansions deteriorate more quickly which will also make the station rating deteriorate.
• Higher appeal often means a higher rating. Be careful as this also means a higher monetary cost.

Complete Adventure Story Chapter 3.

Objectives

• Build a Pond
• Build a Habitat for Wally

This achievement requires building through the nature category of the tech tree up to the Pond expansion. After successfully completing the first objective by building a Pond, Princess Bethyni will appear in the visitors bar. Once she and the Hero are done conversing, the Habitat for Wally expansion will be available in the nature category. Once the expansion is complete, Chapter 3 will be complete.

See War Story Gold for a complete walkthrough.

Note: Previously unattainable, but now available with the most recent update.

This achievement doesn’t explicitly say it, but it requires completion of the Eight-Port Challenge with a gold medal time.

A great walkthrough from shalley303 can be found halfway down the page here.

*Previously unattainable, but now available with the most recent update.

Tips: When completing harder levels make sure you balance profit and power. having too much power sucks profit. Try to sell some power generators for more powerfull ones to keep the station rating high. Have all your ports on full appeal, 1st grade ports and cheaper and work the best for raising it. Make sure you shut off repair ports when they are not needed as they suck up power.

A very handy glitch for the entire game, and especially this scenario, is the aptly titled "Repair Glitch." It allows the repair ports to work while drawing no power. Simply set all of the ports to zero bots, shut it off and then set it to the maximum number of repair drones. The drones will come out and work for only the cost of the repairs.