Bird of Prey

Destroy a ship at full health during a single cloak in the Stealth Cruiser.

To earn this achievement, the ship must remain cloaked from the start of the volley until the battle is over and the after-battle text pops up.

This achievement is easier to get done in the first two sectors on the easy difficulty with a level 2 cloak (that is due to the 5-hull points drones only appearing on this difficulty). Charge the weapon, cloak and fire lasers and align the beam to cross the pilot room (and the ones beside it). When I managed to do it I had the Weapon  pre-igniter, Pegasus missile, flask and dual laser. Cloak when starting the fight, launch the Pegasus on the shield and then aim the pilot with dual laser and flask (or a large room with the flask). Level three cloak should enable the dual laser to charge again before the cloaking end. You can probably do the same thing I did with the glaive beam remember if it did not work it’s maybe that the cloak finished before the after-battle text pops up.

Note: Anti-Ship drones can be used to help unlock this achievement too. 

Phase Shift

In the Stealth Cruiser, avoid 9 points of damage during a single cloak.

You can manage to get this achievement can be while fighting the Rebel Flagship’s third form.  Simply cloak during the Power Surge attack, which should deal out more than nine damage.

It is also possible to unlock in an asteroid field, if you can stay cloaked long enough.

Tactical Approach

In the Stealth Cruiser, get to sector 8 without jumping to a beacon with an environmental danger.

This achievement is the third but is actually the easiest to earn as long you keep the Long-Range Scanners augmentation and are a bit lucky. Note that Neither Rebel-Controlled beacons nor Nebulae nor Anti-Ship Batteries count as environmental hazards, but Plasma Storms, Asteroid Fields, Red-Giant Stars and Pulsars do.

Sometimes due to beacon placement you will be force to go to an environmental hazard if there is no alternate route.