Ultimately it's not languages that write dynamic code, it's programmers; and there's going to be a learning curve to adjust your patterns to styles you're not used to. So what types of work can make best use of dynamic capabilities? The first that comes to my mind is middleware; interfaces among heterogeneous systems; especially those with imperfectly documented APIs or APIs that change a lot, and data serialization is dynamic.
I'd say anywhere you see REST and jason being applied, you're more likely to find dynamic code, for instance, where javascript, php, perl, ruby, ... are popular at least partially because they are capable of dynamic adaptation.
Also, there's a lot of javascript browser code that deals with browser version and brand incmpatiblities using dynamic techniques.