Inductor made out of super conductors
I worked with a rather large superconducting inductor in my early career, the magnet for an MRI scanner. It had a roughly 1m bore, was about 3m outside diameter, and about 4m long, though admittedly most of that was insulation and liquid N2 and He.

A critical part of using it was to 'ramp the current', when you got to see at first hand and at the sort of timescales only usually associated with capacitors, how inductance behaves.

The magnet was normally short-circuited internally, with a superconducting switch, which allowed the current to circulate indefinitely. A probe was put in, to make contacts on either side of the switch, and an external power supply then set to match the current running in the magnet. Then the exciting bit, the superconducting switch was heated to turn it resistive. Once the magnet current was running through the power supply, we could apply a voltage, to slew the magnet current, as dI/dt = V/L. If I recall correctly (it was a long time ago), roughly 75 V applied gave us a slew rate of less than 1 Amp per second for that particular magnet. Estimate the inductance from that. This was a 'low field' 0.15T magnet, present ones are more than 10 times the field strength.

The only difference between superconducting wires and normal resistive wires to make an inductor is whether they have any loss.