Harmonic Drives…
Not sure if it suits what you have in mind, but a contribution on What I Did Today, yesterday reminded me that a Scotch Crank with the crank as the driving rather then driven part, gives a harmonic reciprocating drive.
(A regular crank or eccentric drive does not, due to the connecting-rod's obliquity, and the distortion increases with the shortening of the rod.)
My recollection of this was very roundabout, as the post there was about a steam-engine.
It had reminded me of reading of a Scotch-crank mechanism for calibrating small hydrophones at very low frequency (typically < 10, and indeed < 1, Hz). The hydrostatic head difference given by the vertical stroke immersing the transducer at a sinusoidally-oscillating depth change of only 100mm, is 1000Pa; equivalent to 60dB sound pressure-level in the 1Pa based scale used for measuring sound in water.