Tissue culture is also used without genetic engineering. Orchid flasking is the classic example, since the seedlings require an external source of energy. A symbiotic fungus provides that in nature, but it's easier to replace that with the usual agar medium.
Many other species can be propagated conventionally, but will grow faster in tissue culture. That's typically referred to as micropropagation, and widely used for aroids (like here), flytraps, cactus, etc. It's also common for aquarium plants, I think because that eliminates the risk of introducing pests.