This app is surprisingly powerful for a mobile device. The two most important options for me are the ability to change the stabilizer strength and the ability to turn off "avoid black borders". Sometimes video is just so bad that you need to have those borders and this app allows you to turn that on and off which is awesome. It analyzes video very quickly too.
WITstudent about Emulsio 4 › Video Stabilizer, v2.5.8