Zoas have a tendance to grow like weeds, but dont always.....Water parameters, flow and lighting all play a key roll in their growth.
wish I could say there was a site that could tell you more about all the different varieties.....but I dont know of one. I am in the progress of collecting this info- but am still in the early stages of it. For now though, since you would like to see some names, along with pics, I would say browse around here- CoralPedia.com! :: The definitive repository for named Corals!
All zoas are found in the ocean, but man made isnt a far off description-
Lighting plays a huge roll, as well as alot of other factors, in the way zoas look. They change (morph) also, depending on many factors, including light, flow and nutrients.
As far a s placement goes-
Always start your polyps near the bottom of your tank, and slowley/progressively, move them higher, towords the light, untill they seem happy- like staying open and having nice color. Too much light, without acclimation to it, can disturb polyps.