Seems like the slow Tomcat 7 startup problem can be resolved with \"metadata-complete\" set to \"true\" in the web.xml, like so:
The slow startup is caused because every single class file in every single JAR file in /WEB-INF/lib is also scanned for Servlet 3.0 specific annotations. You apparently have a lot of (large) JAR files in /WEB-INF/lib.
The metadata-complete="true" indicates that the JAR files in /WEB-INF/lib doesn't need to be scanned for Servlet 3.0 specific annotations, but the webapp's own classes will still be scanned.
Note that you listed there two JSF annotations and one Java SE annotation, not any Servlet 3.0 annotations. The Servlet 3.0 annotations are listed in the javax.servlet.annotation package. JSF will only scan for annotations when the JAR file contains a JSF 2.0 compatible /META-INF/faces-config.xml file. It won't immediately scan every single class in every JAR file. The Java SE @Override annotation is not a runtime annotation, but a compile-time aid only.