There is no single "web services specification", there is a full range range of standards and specifications. Are there some particular ones that you need supported?
What do you mean by "Axis is just a SOAP engine"? What do you reckon is the difference between a "SOAP engine" and "web service server"?
If for some reason Axis is indeed not sufficient, you can use JAX-WS, either by using GlassFish or
Tomcat.