My question is best illustrated with an example.
Suppose I have the enum:
public enum ArrowDirection
{
North,
South,
East,
West
}
One thing you could look at is the "Type-Safe Enum" pattern. This allows you to create an enum that is actually a full-fledged static object, which can have methods/properties/etc..
http://www.javacamp.org/designPattern/enum.html
Joshua Bloch talks about this pattern in his book "Effective Java." I've used it in a lot of different situations, and I actually prefer it over plain enums. (It's language-agnostic - it works in Java, C#, or pretty much any OO language).