The position of things like Netty and Undertow at the top of the techempower benchmarks has me a little intrigued. How much hassle is it to write websites with servlets like that?
Another option is WildFly, which is the new JBoss application server that uses Undertow below the hood.
We are presently adapting our in-house framework to use Undertow natively (without the Servlet layer) and the effort to do so has been low, all things considered. If you're comfortably working with the internals of your framework, you may be able to do the same without a great deal of pain.