I second that;
Having studied several automobile transmissions both manual and automatic.
A conventional manual shift not so much, but a dual clutch manumatic or the newer 6, 7, 8, 9, or 10 speed automatics for sure. None have more than 5 to 7 forward planetary gear sets, but more valve body passages, clutch packs, and electronics than a 4 or 5 speed.
Aside from those, there are mega amounts of belville and thrust washers, bearings, spacers, fluid check balls, actuator bands, solenoids, plungers, diaphrams, pin valves, rotational sensors, etc. Many early ones had a both front and rear pump, which allowed a vehicle to be push started.
Various torque converter stall speeds, or the r.p.m.s at which the fluid coupling slips the least. A few later ones do still allow the vehicle to be towed with 4 wheels on the ground for infinite miles in neuteral. The Chevy Cavalier was one such through the 2006 model year. Computers and electronics have replaced the early and simpler cabled, electric and or vacuum modulated detent and shifting points.
Still with all this technology, some still feel much to busy up and down shifting to smoothly power the vehicle in order to maximize fuel efficiency.