We seem to be living in an era of classical analogs. A few examples:

There exist classical analogs to Hawking and Unruh radiation.

As pointed out by Arnold Neumaier, George Stokes, in 1852, "described all the modern quantum phenomena of a single qubit, explaining them in classical terms," including spin1/2 systems. It appears that all quantum systems can be simulated by classical electromagnetic waves.

Sean Carroll rightly pointed out that "[t]he KleinGordon and Dirac equations are actually not quantum at all — they are classical field equations, just like Maxwell’s equations are for electromagnetism and Einstein’s equation is for the metric tensor of gravity."

Quantum collapse can be explained by nonlinearity of particle creation/annihilation within QFT. The nonlinearity is rooted in existing physics of field interactions. Note: Collapse is not instantaneous and neither are Bohr jumps.

Lazaro and Link describe spin1/2 systems with a quaternionic mechanical system.

Quantum tunneling can be described in a classical way, when objects have extent.

Special Relativity is fairly trivial from a field perspective, when considering classical wave mechanics.

There are a number of classical analogs of quantum entanglement that violate Bell inequalities, such as with Brownian motion, chaotic balls, Ising models, classical electromagnetism and water waves (HQFT). Supercorrelation suggests nonlocal correlations can be found conditioning the quantum state on a background field. This can be derived with classical random field models. See The Straw Man of Quantum Physics, Bell Inequalities for Random Fields, Bell Test in a Classical PilotWave System, Shifting the QuantumClassical Boundary, Brownian Entanglement, Noncommutative Probability in Classical Systems, Classical Electrodynamics Can Violate Belltype Inequalities, Apparent Violations of BellBoole Inequalities in Elastic Collision Experiments, The Chaotic Ball: An Intuitive Analogy for EPR Experiments, Violation of the BellInequality in Supercorrelated Systems, Contextuality, Complementarity, Signaling, and Bell Tests, Comment on "Loopholefree Bell Inequality Violation"

Considering stochastic QFT, SED provides a classical explanation for a number of different quantum effects.

Quantum teleportation falls into the entanglement phenomena but people make it sound mysterious because they forget that they have to copy the computational basis.

GR is already classical. Scharf, following Einstein and Weinberg, gave a nongeometrical version of gravity that mainly acts as a classical field, although derived from a quantum gauge field. When attempting nongeometrical field theory unifications, few even consider Bondi radar. Obviously, GR is not my concern here.
Question: What remaining parts of QFT meaningfully escape any classical analog?