I may not have them all but:
full split ( left or right)
handstand to bridge, kickover.
snap turn or half turn (can't remember)
straight leg pullover
front hip circle
front mill circle
back hip circle discmount
handstand flat back
straight jump / tuck jump combo
side handstand dismount
I am sure I am missing some, but that should get you started.
You can check out the USAG "report card" that is on their website. Here is the link http://www.usa-gymnastics.org/PDFs/Forms/Women/w_1-4_reportcard.pdf It shows all the skills you need for Levels 1 - 4.
Thanks for the info! Is the shoot through where they have their legs one under and one over the bar?
yes. For the shoot through you would be in front support, cast and bend one knee and 'shoot' that foot between your arms so that this leg is above the bar.
Here is a link:
Gymnastics Revolution - Gymnastics Interactive - 203-798-8651