I'm not sure about your question, however I'll try to answer:
Alkenes/alkynes can react with various compounds. They can react with themselves, too. This
type of reactions are called pericyclic reactions. (Of course a pericyclic reaction can occur not only between alkenes/alkynes). Although every pericyclic reaction can be considered as a cycloaddition there are formally 5 types:
cycloaddition, electrocyclic, sigmatropic, cheletropic and group-transfer reactions.
EDIT:
of course carbonyl/nitrile groups etc. are multiple bonds, too. There are many reactions concerning that kind of functional groups.