What kind of cookies can be shaped?
Cookies for shaping are usually rolled cookies.

Common categories would include:


Sugar cookies (as Mien mentioned)
Gingerbread
Linzer cookie dough


Look for recipes where you use a rolling pin.  These are already formulated for minimal spread.

Adapting other cookie recipes for use with cookie cutters will be trickier, and probably not worth the effort, in my opinion.