Here are a bunch new combos I discovered last week when playing a bunch of FFA's with Anthrax. The 1st combo looks like this, in terms of controls: A -> B -> B (only press once) -> Air Dash -> Air Grab -> Aerial. The combo works on every character, and it fills 3/4 of the slam meter. It is very difficult to do it on Quasi and Shrek though.
The second one also fills (at least, assuming no throw charge-up) 3/4 of the slam meter. The combo is A->B->B->Aerial->Grab and throw->Aerial. It does work on everyone, as long as it is timed correctly.
The third combo, in addition to the fourth are much easier to execute.The third is a low-altitude Air Dash -> Air Grab -> Aerial for 2/4 letters. Works on everyone, the big guys in particular quite easily.
The fourth is A -> A -> B -> Ground Dash for 1.5/4 letters. I found little use of her A, A, B combo prior to this (as her attack animations would become very weird before she finishes her spin attack, but the Ground Dash fixes this issue), but afterwards, I've started to use it more.
The fifth is a simple throw followed by an Aerial Wall Attack and a Ground Dash for 2/4 letters. Works on every character.