Ironically come to think of it, transmission lines are a case where KVL does start to fall apart due to non-negligible time taken for changes in voltage (and electric field) to propagate through the transmission line. Thus with time-variant changes in the order of time taken for changes to propagate through a circuit can result in instantaneous snapshots where KVL appears to fail.
For example, imagine turning on a light at the end of a very long wire: when the power is applied to the start of the wire, it will take a finite time for electric potential to propagate down the wire and turn the bulb on. For a brief period it seems as though there is a voltage being input but no voltage at the output across the bulb i.e. the voltage sum of the loop is zero.
This can be solved by using the inductor-capacitor lumped element transmission line or more typical is simplified to transmission line element that applies a phase shift to the complex phasor used to represent voltage.