Neodymium
The strongest permanent magnets ever made. Nd-Fe-B magnets drive headphones, hard drives, electric motors and wind turbines.
Dysprosium & terbium
Added to neodymium magnets to keep them working at engine-bay temperatures. This is why they are strategically contested materials.
Europium & yttrium
Red and blue phosphors in displays and fluorescent lighting; europium is also the anti-counterfeiting glow in euro banknotes.
Gadolinium
The contrast agent that makes soft tissue visible in MRI, and the highest neutron-capture cross-section of any stable nuclide.
Cerium
Catalytic converters, glass polishing, and the flint in every disposable lighter.
Erbium
Doped into optical fibre, it amplifies light directly — which is what makes intercontinental internet cable practical.