Back N Forth is a free sine wave generator preset for the position, scale, and rotation in every axis of your objects inside of After Effects:
What this means is that with this preset, you can automatically make your layers move from side to side (or up and down) in a motion that is always equidistant from the center on both ends! This is different from using something like “Wiggle” in that wiggle is more or less random motion, whereas sin waves are constant and fluid.
Author Neal Barenblat has another preset as well,
Flicker On.
Back N Forth joins other recent expression-based presets as animation aids, like
Gravity preset from Jesse Toula and
Better Bouncing by Ian Haigh. See foundation basics and much more from
JJ Gifford (plus
harmonic motion) and
Dan Ebberts.
Not disimilar is
Ease and Wizz, a script to generate alternative keyframe interpolations for After Effects (especially to the sine-like Easy Ease). Looking at
pictures by Chris Meyer is the fastest way to see what behaviors you get with this script. Author Ian Haigh has a nice
demo on AE Scripts; here's a preview:
Continuing with tangents off sine animation are some tutorials for creating animation of sines:
Update:
animationPATTERNS,
by Markus Bergelt, is "a keyframe-based easing assistance, that allows
you to edit and create new easing types. It comes with a dockable
palette, a set of default interpolation methods like bounce, rubber,
pendulum... and is very easy to use! !animationPATTERNS does not work
with properties that already use expressions. They'll get replaced by
clicking apply pattern."