Some Characters just don;t really fit into a class. Take My Shades Character, Leonardo Landon, for instance. A bit scholarly yes, but his love is in art. A bit of a mage, yes, but his main study is not in the magic itself, but in the knowledge of it and methods of using it. He doesn't really belong in one or the other. Instead, he is a mix of all three. He is a mage-scholar-artist. I essentially had to make up the class, and its rather unique to him alone, but it covers all aspects of his 'professions'.
Class could also refer to PAST professions. Aron could be listed as an Ex-soldier, perhaps, while my Sailor Murrin Darcen is listed as a Retired Naval Captain. Though no longer a captain, he was one, and that profession has defined who he is, and still does despite his retirement.
You can also completely make up a profession, like I have with Jassan Zartuk in Tears of the Nine. He is a Procurer. What one might call a 'gentleman thief', based off a novel series. He wouldn't really fit as a common thief, as his intentions in thieving are more noble than the stereotypical thief. So, he's a procurer.
As for the Skills, I think I have a few of my own character examples to work from. And Elgen had Aron have skill and mechanics, or some such.... There are often skills like cooking, Basic Wilderness Survival, and Martial Arts. For Leonardo Landon I have sketching and painting, and even symbology -a reflection of his scholarly pursuits.
One character I have planned out is a good example for both classes and skills. She isn't offensively oriented, and her class is actually a 'housemaid'. She comes with skills such as cleaning, cooking, sewing, common house cleaning skills, and few game skills thrown in for good measure. This makes her rather unique, and interesting. How does a housemaid become a hero?
Did I explain it any better, Elgen? and you all discuss it while I explain it.. *sigh*