There are many many types of broomball stick available, but these are the basic types. As far as I know there are only three (current) manufacturers. DGel, Forest Ice, Acacia. All manufacturers offer a range of sticks, which offer performance in the same range as each type. My personal standouts are the DGel Powershot, the Forest Ice 3000.
Also worth noting, is that some sticks are available in extra length models. Personally I don't like them but a few players have used them and continue to persist. They do offer some extra reach, great for very tall players, defenders, or Ice Hockey players used to the longer stick. But having seen them used and played against them, I see players struggling to get quick shots away, or handling in close work with some difficulty, but they have their place. You won't go wrong with any of these brooms, they all offer good performance and a good amount of control. It just depends really on your preferences, with, control, weight, weight distrubition, materials, cost etc etc.