Front Flip
Flipping forward off of a jump

Back Flip
Flipping backwards off of a jump, I call them backies

Barrel Roll
A sideways front flip where you tuck under the board itself

Wildcat
An actual back flip where the nose directly follows the path of the tail one of the other.

Rodeo
A back flip with a rotation of 180°or greater. I was told to imagine a soccer ball above my trailing shoulder then try to kick it as hard as I could with my leading foot. There are a few different ways to do them but this is my best explination.

McTwist
An inverted 540° usually done in the halfpipe.

Misty
A front flip with a 180° or greater, mostly seen in the halfpipe they can be done frontside and backside.

Rippey Flip
A straight back flipping 360° with a method grab. Named after Jim Rippey

Michalchuk
A back flip with an on-axis 540° usually grabbed indy. Named after Mike Michalchuk.