La Lanthanum used in High refractive index glass, flint, hydrogen storage, battery- electrode, camera lens
Ce Cerium chemical oxidising agent, polishing powder, yellow colors in glass and ceramics, catalyst for Self-cleaning ovens
Pr Praseodymium Rare-earth magnets, laser, green colors in glass and ceramics
Nd Neodymium Rare-earth magnets, laser, violet colors in glass and ceramics, ceramic capacitor
Pm Promethium Nuclear batteries
Sm Samarium Rare-earth magnets, Laser, neutron capture, maser
Eu Europium Red and blue phosphors, laser, mercury-vapor lamp
Gd Gadolinium Rare-earth magnets, high refractive index glass or garnets, laser, x-ray tube, computer memory, neutron capture
Tb Terbium Green phosphors, laser, fluorescent lamp
Dy Dysprosium Rare-earth magnets, laser
Ho Holmium Laser
Er Erbium Laser, vanadium steel
Tm Thulium Portable X-ray machine
Yb Ytterbium Infrared Laser, chemical reducing agent, High-temperature superconductors
Then there's Gallium which is used extensively to alloy metals.
All of these metals may or may not behave as we would like, and they would require some rather extensive analytical chemistry to determine their presence. It's bad enough for them to be present on a first go round of refining but to show up because you recycled some reagents would really be annoying.