I'm going to try this game again.

I'm thinking of going with Striker, after watching that video. Too bad it's only female. Oh well.

There are some male examples of the Striker.

A ranger is the epitome of speed, has nice ways of escaping enemies, which sort of counts as invincibility frames.

As for Slayers, I think Blade Master would fit your bill, though I hear they are expensive to fund (their power is really dependant on their weapon)

For Priests, Monk sounds about right. Punches fast like Goku, and has a couple moves that invoke invincibility frames and mad swaying moves.