In order to unlock this Trophy, you need to collect 10 of the 20 different Vault-Tec Bobbleheads.
In various locations around the Commonwealth, you can find Bobbleheads. The locations are as follows:
Agility is located at the
Wreck of the FMS Northern Star. On the very edge of the bow of the ship, on a rickety wooden platform past the deck hut.
Barter is found at the
Longneck Lukowski's Cannery. Inside the metal catwalk hut, northwest upper area of the main cannery room.
Big Guns is in
Vault 95. It's on a radio in the northernmost room inside the Living Quarters.
Charisma can be found at the
Parsons State Insane Asylum. In the Administration Area, you should be able to find Jack Cabot's office. The Bobblehead is on his desk.
Endurance is at
Poseidon Energy. Near the Steamer Trunk, on a metal desk that also has a magazine on top.
Energy Weapons will be at
Fort Hagen. It's in the Command Center, on a small table between two fridges.
Explosives in
Saugus Ironworks. Where the Steamer Trunk can be found in the Blast Furnace area, the Bobblehead is on the Catwalk.
Intelligence is located in the
Boston Public Library. In the North West corner of the Library, there is a mechanical room, the Bobblehead will be on the computer bank.
Lock Picking will be in
Pickman's Gallery. Where you meet Pickman, the Bobblehead will be on the ground between two brick pillars.
Luck is found on
Spectacle Island. It's in a locker by the Steamer Trunk of the ruined boat at the south part of the island.
Medicine is in
Vault 81. Simply in Curie's office.
Melee will be at
Trinity Tower. In the cage where you find Rex and Strong, at the top of the Tower.
Perception in the
Museum of Freedom. When you find and speak to Preston, the Bobblehead will be on a metal desk in the same room.
Repair is at
Corvega Assembly Plant. At the South West roof section of the Plant Building, the Bobblehead is at the very end of the top exterior gantry.
Science should be in
Vault 75. The vault can be accessed via Malden Middle School and the Bobblehead is on a desk overlooking the Diner section, Basement Level 3.
Small Guns can be obtained in
Gunners Plaza. West side of the building on the ground floor, the Bobblehead is on the broadcast desk.
Sneak in
Dunwich Borers. Right next to the metal post terminal for area #4, on a small metal table.
Speech is in
Vault 114. The vault can be accessed from Park Street Station, the bobblehead itself will be in the Overseers office where Nick can be found.
Strength is found in the
Mass Fusion Building. This one is hiding on the metal wall sculpture high above the lobby desk.
Unarmed is with the
Atom Cats Garage. It's on the hood of the rusty car in the main warehouse.
An incredibly helpful video by PowerPYX can guide you straight to each of the locations.