BioShock Remastered

Here are all of the ammo types that you need to invent in order to get the achievement:

Antipersonnel Pistol Rounds
Exploding Buck
Armor-Piercing Auto Rounds
Heat-Seeking RPG
Electric Gel
Trap Bolt

All ammo types will be available after you reach Fort Frolic.
You need to make:

Antipersonnel Pistol Rounds:
2 Rubber Hose
3 Shell Casing
1 Screw

Armor-Piercing Auto Rounds
2 Kerosene
1 Brass Tube
3 Shell Casing

Electric Gel
1 Alcohol
3 Distilled Water
2 Battery

Exploding Buck
3 Kerosene
2 Shell Casing
1 Screw

Heat-Seeking RPG
3 Distilled Water
2 Kerosene
1 Brass Tube

Trap Bolt
1 Alcohol
3 Glue
2 Battery

At most, you must acquire:
2 Rubber Hose
8 Shell Casing
3 Screw
7 Kerosene
1 Brass Tube
2 Alcohol
6 Distilled Water
4 Battery
3 Glue

Hacking the U-invent will reduce all requirements by one, and the tonic "Clever Inventor" will reduce it further, but you will always need a minimum of one of each ingredient. The tonic "Scrounger" will make it easier to find the right ingredients. The only way to check what you have is to visit a U-invent.

It also works perfectly to do while playing in World’s of Hurt Challenge, worked for me ;)