Here are some descriptions from the
Roach Crossing:
Nauphoeta cinerea (Lobster Roach):
This roach has made a name for itself due to itself incredibly fast, steady reproduction, softness, and palatability. Although this species can climb, it’s fairly bad at it and is easily stopped by a slick barrier. Females can give birth to over forty babies. This is probably the easiest roach to care for: all that’s needed is a container, something to hide under, and food! Heating will dramatically increase reproduction.
Shelfordella lateralis (Red Runner, Turkistan, etc.):
One of the best feeders out there, the Turkistan roach is easy to care for and just the right size. The adults and nymphs cannot climb glass, but the adult males can fly. Adult females are dark purple with small wings, and produce dozens of ootheca over their lifetime. A good substrate and high temperatures will ensure a nearly endless supply of nymphs.
Oxyhaloa deusta (Red-Head Roach):
A quick breeder, this species compensates for its lack of size with its breeding speed and colors; adults and older nymphs are a mysterious dark plum color with reddish-orange heads. The elytra are covered in long, arching hairs (visible with good magnification from the side). When pestered, the adults release a defensive odor highly reminiscent of garlic bread. High humidity with good ventilation, plenty of hiding places, and crowded hiding places will keep this species breeding at optimal levels.