I’ve done two rather unconventional variants.
I had a smallish aquaponics setup with about 300L of water, half a dozen fish, and about 100L of expanded clay media. It didn’t work particularly well and I never found out why. Eventually the neighbour’s ducks ate my fish, so that was the end of that.
I had much better success with ordinary planting containers filled with wood, sand, and gravel. I kept a big plastic container filled up with water and kitchen scraps, which fermented to a sort of liquid compost, and once a day I’d flood-and-drain the planting containers (I had a tube installed in the corners so that they’d fill upwards, and they drained from a hole in the bottom into a large plastic tub). The water was mostly just cycled through and topped up with tap water as it was transpired or evaporated away. I added a tiny amount of synthetic fertilizer (with micronutrients) to the compost tub about once a week. The intention was to feed the bacteria and fungi rather than the plants.
I grew lots of nice leafy vegetables with this method, including basil, lettuce, and various brassicas. Does it count as “hydroponics”?