Accalion 4's review hits on some of MaxX's strong points (free card draw, aggression, etc) but it makes the fatal error of seeing MaxX's rapid card trash as a disadvantage. With the right deck, trashing all of your stuff can actually make your deck stronger.
Playing 3x copies of Clone Chip, Same Old Thing, Déjà Vu, and Retrieval Run turns your heap into an extension of your hand. Trash your Morning Star or Femme Fatale and then fetch it (for only 3 credits) when you need it by making a quick Retrieval Run on archives. Pull your Parasites out of the trash mid-run and destroy that troublesome ice with a Datasucker. A deck with heavy recursion and heavy redundancy mitigates the negative effects of damage, as damage is now much more likely to hit something you already have installed, or can fetch at a moment's notice. This makes cards that self-damage or trash much safer plays, so you can make an Amped Up run of Wanton Destruction, fearing not the trash of Faust or the bite of Eater.
With MaxX you can run fast, and run hard. You can throw caution to the wind and give the corp the finger while burning down both their deck and your own., and my favorite middle-finger inclusions for MaxX decks include all manner of cards that trash your own cards. Faust, Amped Up, Stim Dealer Cybernetics, Spinal Modem, etc. Tag me? How about BRAIN DAMAGE me? I'll eat the damage and keep coming on strong. You think your damage scares me? Please. I've Had Worse.