One of the Leslie Sims that
haven't been mentioned is the one contained in Native Instruments B4. You can use an instance as an insert effect to get not only the Doppler effect
with the bass rotor slow down inertia
and the tube amp grind. I would
hope that B4 II and Vintage Organs retained that capability.
I've used this as a clip plug-in on a live multi-track recording to dress up the keyboard player's organ patch (that was less than stellar).