Games that offer more than one solution to most of the puzzles and/or situations encountered. Bonus points if this means that items have multiple applications (unless they do something even more clever).
Emily Short, September 1, 2011 - Reply I notice there's also a "multiple solutions" tag, which may turn up more games that fit (I haven't tried all of them so haven't added more myself).
Hulk Handsome, September 1, 2011 - Reply Oops, I didn't see the tag! And by that, I mean I didn't even think to look.