How to unmix: Just e.g. close your files explicitly, but let the memory of the data structures that represent your files be garbage collected normally.

For patterns of usage similar to RAII, Common Lisp uses unwind-protect. I already mentioned Disciplined Disciple Compiler that extends Haskell to give static guarantees for following certain rules for resource management.

Why would you bother: RAII only covers some cases for resource management, and most garbage collectors can take an arbitrary long time to collect an object that's no longer reachable. Which is fine for memory, because memory is fungible, but the attached resources, say mutexen, are not necessarily fungible.