Letter arrangement games, where the goal is to form words out of given letters:
Anagrams -- both a simple game of rearranging letters and a linguistic recreation of making anagrams that seem to illuminate something about the original word, such as dog for god.
See word play for literary works in which the nature of the words used themselves become part of the subject of the work. See language game for a linguistic variant.
External links
Word games category of the Open Directory Project (http://dmoz.org/Games/Video_Games/Word_Games/)
Anagrams -- both a simple game of rearranging letters and a linguistic recreation of making anagrams that seem to illuminate something about the original word, such as dog for god.
Structured games, focussing on the semantics of words:
See word play for literary works in which the nature of the words used themselves become part of the subject of the work.