The over-engineer in me likes the way Rails 3 does it. That way I can pretend that my code is reusable, as the URL is decoupled from the code that eventually implements its handler.
But I suppose there is also something nice about a controller which self-defines the way in which it can be accessed.
You don't have to pretend ... it actually is reusable. I don't get what's "over-engineer"ed about it.
I think a better approach would've been for me to subclass one from the other, or have a common parent class, and then handle the parameter differences within each subclass. At that point you'd end up with a 1:1 mapping between controller class and URL anyway.
I find the Sinatra approach leads to less code and less complexity, especially for larger apps. This is because it is easy to extract middleware using Sinatra, since I break up separate resources anyways, instead of the single Application object.
get 'something/fun/:id', :to => "controller#action"
You can map just about anything that falls outside of the conventions with a variety of that.