Due to the large number of cases discussed in the Talmud regarding items which one may not move, I am indexing the basic rules here instead of bringing each case, with several exceptions listed under "Specific Types" below.
The General Prohibition against moving Muktzeh items
Designating an Item for Use
Classes of Utensils [Kelim]
Moving Disgusting Items
Moving Valuable Items
Moving Useless Items
Status of Entities Created on Shabbat/Holidays [Nolad]
Items which are Bases for Other Items
Specific items one may not move