Transition between animes/fight scenes

[TFKBankai]

So I want to get started with doing amvs and I was wondering how do people do these smooth transitions between animes or fight scenes? I think there are lots of ways to do that so if you could just tell me some I would be really happy
*I'm going to use After Effects*

[Pikapwn]

Some times effects aren't the only good way to make good transition. Picking scenes that meld well into each other is a good way to achieve flow. Here's a great video about how to make scenes flow well into each other.

https://www.youtube.com/watch?v=Cu6h0MDnF6w