If you go down the page on the docs here, you should find a section talking about Route Parameters and Regular Expression Route Constraints. You can use this to achieve what you want like this:
//Make sure to place this as the bottom most route in your routes.php
Route::any('{anything}', function($anything)
{
die('You can call a controller here and pass '.$anything.' or not.');
})->where('anything', '(.*)');
{anything}
is a "route parameter", you can give the parameter any name you want, but it's the regular expression (.*)
used with it in a where
that helps you achieve this effect.