It's fairly easy to dissolve objects in Blender, but you can go even further. Learn how to use particles, a point density texture for volume rendering and a moving force field to get a ghost-like effect.
Most people use very bright shaders when creating fire in Blender. But in many situations a more subtle approach works a lot better. This tutorial shows you how to get there!
Since Version 2.57, Blender has a Fluid Particle Simulation integrated that is easier to use than ever. This tutorial will show you the basics.
The second effect of Nion's second reel shows a big drum of smoke growing dangerously bigger and bigger - a nice, simple and very educational effect I chose for my second tutorial of his grand effect reels!
Cool looking light streaks are not exclusive to commercial products like AE. In fact, you can create those in Blender as well. With full control over speed and timing thanks to the motion trail addon.
Inkdrops are heavily used in Motion Graphics and Design. Usually one needs to search through stock footage archives to find a fitting drop, which often also means to pay license fees. Thanks to Blender, you can now easily create perfect inkdrops that can be tailored to your project's needs.