You will need one Treehouse set of the standard color scheme: 3 pyramids each of red, blue, green, yellow, and black. And a bag they can be drawn out of.
Of course, you'll need a Kaxxt card. Also, it's convenient to have a shield card for each player, and for Kaxxt, to allow easily tracking how many points are left on each shield. Here is a page that contains all the cards for easy printing.
And you'll need one die. If you wanted to get fancy you could color the spots to match the laser beams... nah.
Kaxxt can be played by 2 to 4 players. More players make for a harder game.