Basically every hive needs a bottom and a lid. Things like inner covers are nice, but not necessary. Every hive will need several boxes for brood and more for honey. I like all the same size boxes.http://www.bushfarms.com/beeslazy.htm#uniformframesize
I also like smaller lighter boxes.http://www.bushfarms.com/beeslazy.htm#lighterboxes
Then you ALWAYS need at least one spare top, bottom and several boxes. These can be used to do a split, hive a swarm, or just use them while manipulating the hives so you don't have to set the boxes on the ground.
You need at least two colonies to have some resources to work with.