The only hard and fast thread rule that I follow is not to use hand quilting thread in my machine. At least not the kind that is coated with anything. If the thread is labeled "suitable for hand or machine use" I am good to go. As CK said the thread manufacturer websites are a valuable resource for info.
Edited to add, Depending on what kind of spool the thread comes on could make a difference. You have to use the special thread holders for the big cones because of the way they are wound on the spools. So for LA work you have to be aware of that if you want to use thread that isn't on the big cones.