Since there isn't any particular "stressful" athletic feats involved (such as with track, basketball, football, tennis, cross training, etc.), it would seem rather silly for a manufacturer to attempt to create a shoe specifically for billiards. This is especially true considering the small market.
Common sense dictates the shoe should be comfortable and provide support for standing and walking for longer period of times. I personally find Ecco and New Balance Tennis Shoes to work great. Stan Shuffett gives a lot of lessons which means he's on his feet a ton, he swears by Mephisto. I've heard the Mephisto are good but they're also quite pricey. You can get a good pair of Ecco for $125 to $150.
I took Stan's advice about the Mephistos and bought two pair, one black and one brown. They are extremely comfortable. Kind of heavy shoes.... but I am happy with them.......just sayin....
JoeyA