Solid-state lighting devices including light-emitting diodes (LEDs) and more particularly lumiphoric material structures for LED packages and related methods are disclosed. Cover structures with predefined color points for LED packages may include multiple lumiphoric material structures that are bonded together and arranged within LED packages. Lumiphoric material structures may include preformed and hardened structures, such as phosphor-in-glass or phosphor-in-ceramic, that are bonded together to form cover structures. Certain lumiphoric material structures include multiple sublayers of varying quantities and/or compositions of lumiphoric materials. Lumiphoric material structures with targeted color points may also be reduced to powder form and mixed within a binder for application in LED packages. Related methods include preforming cover structures of bonded lumiphoric material structures or assembling cover structures at a package level by separately arranging each lumiphoric material structure within LED packages.