The meetings are more or less what you'd expect - we meet up at 8PM in the Salad Bowl and watch episodes of two animes (usually 4 or 5 of each) filling in the gaps with movies. We'll be starting new series (Fruits Basket, Area 88, and a third that evades my memory right now) in the new semester, but to give you some idea of the stuff we normally watch this semester we have seen (among other things), Azumanga Daioh, Noein, Howl's Moving Castle, Metropolis, Final Fantasy VII: Advent Children, Tokyo Godfathers, and the Digimon film.
Edit: Just noticed how long ago you posted. Hopefully you've already been along (and decided to keep coming!), but if you haven't come along next semester.