Steredenn: Binary Stars

As with the other weapon related achievements, you must simply pick up and use all bullet weapons once (orange). There is a bit of luck as weapon drops from cargo ships are random, but you will encounter them all over time.

You can check which weapons you've picked up under the arena menu.

Bullet weapons consist of:
Blaster
Hyperblaster
Supergun
Megagun
Hypergun
Shotgun
Demuxer
Impaler
Crusher

Here's a full list of bullet weapons. The achievement popped with one missing, so it's either bugged or some aren't required.

Once you unlock the Arena, you can check the list of weapons for everything you've already discovered. There's no need to take notes on what ones you've already found.

Hyperblaster
Hypergiun
Supergun
Megagun
???
Shotgun
Hypershotgun
Helixer
Demuxer
Impaler
Crusher
Sniper

Doing the daily mission is a fair way to search for new weapons, since everything given in the daily is non-default. You must drop the weapons and pick them up again for daily weapons to be counted, however.