Give me a bulleted list of the fastest way to get from to cross the English Channel in a nonconventional way?
First, you need to pick the shortest distance to travel across the English Channel.  The Straight of Dover is the narrowest point at only 20 miles wide. This will give you the best chance to complete your crossing quickly. 

Outside of conventional means of transport such as car, train, airplane and boats, you could try the following options: 

Hot air balloon 
Catapult 
Jetpack 
Hovercraft
Submarine
Swimming