Fallout 4

GLITCHED

Note: The Gorilla Cage is not required for this trophy so don't waste time and effort on either, unlocking it in the first place by finishing the Nuclear Option quest in the main game or building one if you already have it unlocked.

There are a total of 15 cages which you need to build but fortunately, you may not need to power them on for the trophy to pop. As mentioned in the Road Map, it is suggested that you attempt this in a large, spacious settlement once you have collected all of the necessary supplies. Once you have all the supplies backup your save before attempting to build any of them. Now build the cages one by one and when you have finished building the 15th the trophy should pop, however mine took a few seconds to do so, and I had to quit in and out of the workshop menu a few times.

The Cages you need to build are:

Small cages:-

Cat (Materials needed: x6 Steel, x1 Copper and x2 Softshell Mirelurk Meat)
Dog (Materials needed: x6 Steel, x3 Canned Dog Food and x1 Copper)
Mole rat (Materials needed: x6 Steel, x4 Radroach Meat and x1 Copper)
Mutant hound (Materials needed: x6 Steel, x2 Brahmin Meat and x1 Copper)


Medium cages:-

Feral ghoul (Materials needed: x10 Steel, x4 Mongrel Dog Meat and x2 Copper) - A lootable dead Mongrel Dog containing 2 Mongrel Dog Meat, frequently spawns on the road between Sanctuary and the Red Rocket Truck Stop.
Gunner (Materials needed: x10 Steel, x500 Bottlecaps and x2 Copper)
Insect (Materials needed: x10 Steel, x2 Copper and x4 Mole Rat Meat)
Raider (Materials needed: x10 Steel, x6 Jet and x2 Copper)
Super Mutant (Materials needed: x10 Steel, x5 Brahmin Meat and x2 Copper)


Large cages:-

Brahmin (Materials needed: x16 Steel, x4 Razorgrain, x4 Copper and x4 Gear)
Deathclaw (Materials needed: x16 Steel, x4 Yao Guai Meat, x4 Copper and x4 Gear)
Mirelurk (Materials needed: x16 Steel, x4 Mirelurk Egg, x4 Copper and x4 Gear)
Radscorpion (Materials needed: x16 Steel, x4 Sting Wing Meat, x4 Gear and x4 Copper)
Radstag (Materials needed: x16 Steel, x4 Carrot, x4 Copper and x4 Gear)
Yao guai (Materials needed: x16 Steel, x4 Rad Stag Meat, x4 Copper and x4 Gear

All of the above items can be easily obtained in the Diamond City Market by trading with the Diamond City Surplus and Choice Chops stores but if they don't have in stock what you want, wait/sleep for 24-48hrs then come back - rinse and repeat until you have everything. Now if you have Far Harbor DLC installed, then you can get a ready supply of Yao Guai and Radstag Meat from there since the island is crawling with both creatures. If you have trouble finding enough Gear, then try the Corvega assembly plant as several can be found there.

Glitch note: This trophy can be very glitchy so if you are having issues getting it to pop, then double check that none of the 15 cages require repairs (which happens if they have been used before or been attacked) then power each of them with a small generator and attach a wire. Though the trophy doesn't require the cages to be powered, installing the generators may give the game a poke into popping the trophy. If this doesn't work, then load a pre-glitch save and rebuild each cage and that should give the trophy a big enough nudge to make it pop.