Could this template function be improved?
The use of template parameters here is just fine. You can call the second one UnaryPredicate if that makes you happier, but in the end, C++ currently lacks the ability to specify further requirements on template arguments. (That's what concepts are for.)

So you really need to specify the detailed requirements in prose in the documentation, e.g.


  ContainerType must fulfill the Container requirement, and its value_type must be Copyable. Predicate must be an UnaryPredicate taking value_type as its argument.


What you could possibly improve is making this more efficient in C++11 when the argument is a temporary.