A quick animated GIF I threw together:

I made the initial animation in Blender, using the wave and displace modifiers and some postprocessing in the node editor. Then I imported the frames into After Effects and did a little more processing (added grain, some color adjustments). I exported the frames as a PNG sequence and then converted them to a GIF using ImageMagick on the command line:

convert -delay 1x20 *.png -resize 500x500 -layers optimize +dither -colors 32 output.gif

More animations coming in the near future, hopefully.